the 6th term of a GP is 2000. Find its first term if it's common ratio is 10​

Answers

Answer 1

so ar^  = 2000 and you told me r = 10

a(10^5) = 2000

a = 2000/100000 = 1/50

Answer 2

the 6th term of a GP is 2000 is 0.02 then the first term of GP is 0.02

What is a GP(Geometric Progression)?

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Geometric Progression (GP) is a type of sequence in which each succeeding term is produced by multiplying the previous term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

Therefore,

The general form of a GP is a, ar, ar², ar³,...., arⁿ where a is the first term and r is the common ratio.

Given r=10

6th term of a GP = 2000

We know that nth term of a GP = [tex]ar^{n-1}[/tex]

[tex]ar^5[/tex] = 2000

a × ([tex]10^5[/tex]) = 2000

a = 2000/100000

a = 1/50 = 0.02

Therefore, the first term of GP is 0.02

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Related Questions

(4c + 7) + (8c + 8)

(adding and subtracting polynomials)

Answers

Answer:

12c + 15

Step-by-step explanation:

Combine like terms

how many $10 bills are equal to a $1000 bill?

Answers

100 ten dollar bills are equal to 1000.If you divide 1000 by 10 you get 100.

How many $10 bills are equal to a $1000 bill?$10 × $100 = $1,000 .The answer is a hundred 1 ten five cents.S: 10, 20, 30, 40, 50, 60, 70, 80, 81, 82, 83, 84, 85.The $1,000 banknote is still recognised as legal tender despite having been phased out for more than 50 years. This implies that any $1,000 banknote you come across is worth at least its face value, or $1,000. $10 and $20 bills can be obtained through Citibank, Capital One, Bank of America, Chase, and PNC.1,000 is 10 hundreds.

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Which statement describes the congruent triangles?
∆WXZ=∆YZX
∆WXZ=∆YXZ
∆WXZ=∆XYZ
∆WXZ=∆ZYX​

Answers

Answer:

A) WXZ=YZX

Step-by-step explanation:

WXZ=YZK

A pipe is 24 feet long. It needs to be cut into pieces that are each 3/4 feet long. How many pieces can be made from the pipe?

Answers

Hi hi I am going to call you tomorrow and I will call you tomorrow morning I know you’re doing good
36 if you 24 divided by 3/4

The library is to be given 7 books as a gift. The books will be selected from a list of 15 titles. If each book selected must have a different title, how many possible selections are there?

Answers

If each book selected must have a different title, THERE ARE 15 POSSIBLE SELECTIONS.

Zoe is starting her own snow plowing business. Zoe has calculated that she needs to earn $550 per week to support her family. If she knows she will only be able to work 40 hours per week, what is the minimum amount of dollars per hour that she will need to charge her customers?

Answers

550/40 = $13.75 per hour

What strategies do you use to make a ratio table?

Answers

By multiplying or dividing both quantities in the ratio by the same value to find an equivalent ratio

I WILL GIVE BRAINIEST Enter the data to create a histogram and use the drop-down menus to complete the statements.

The scale on the graph is ?

The interval with the highest frequency is ?

Answers

Answer:

1. 0-7

2. 2-3

Step-by-step explanation:

got it right on edgu.

Answer:

The scale on the graph is

✔ 0–7

.

The interval with the highest frequency is

✔ 2–3

.

Step-by-step explanation:

PLZ HURRY I WILL GIVE BRAINLIEST (50 points)

A person weighs a different amount on other surfaces in space than they do on Earth because the gravitational pull of each surface is different than that of Earth. The table and graph show the weights of objects on Earth, Mars, and the Moon.


Weight on Earth and Mars
Weight on Earth, e
90 pounds
120 pounds
160 pounds
Weight on Mars, a
36 pounds
48 pounds
64 pounds




Weight on Earth and Moon
A graph has weight on earth (pounds) on the x-axis, and weight on moon (pounds) on the y-axis. A line goes through points (60, 10) and (120, 20).


If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?
The person weighs 56 pounds more on Mars than on the Moon.
The person weighs 56 pounds more on the Moon than on Mars.
The person weighs 560 pounds more on Mars than on the Moon.
The person weighs 560 pounds more on the Moon than on Mars.

this is on edge2020

Answers

Answer:

The answer is A The person weighs 56 pounds more on Mars than on the Moon.

Step-by-step explanation:

Answer:

the first answer

Step-by-step explanation:

did it on edge

can earn coins
Pedro is making a graph to represent how each chocolate purchased costs $3. Pedro says that the line
will pass through the origin (0,0) because if you buy o chocolates, it will cost 0 dollars. Does Pedro's logic
make sense?

Answers

Answer:

No Pedro's logic does not make any sense

Step-by-step explanation:

It depends on how it is graph.

I need help with the three of them with a step by step example please

Answers

Answer:

4

Step-by-step explanation:

Help me please i need this now

Giving extra points

Correct answer

Answers

Answer:

Step-by-step explanation:

(A) and (B)

Which expression is undefined?
a. O : 4
b. 4 : 0
C. -15 = 2
d. 15 = (-2)

Answers

Answer:

B. 4 : 0

Step-by-step explanation:

4 ÷ 0 = undefined.

Anything divided by zero will always be undefined because 0 has no value and nothing times it will get anything more than 0.

Ex...

0 x 1 = 0

0 x 2 = 0

And so on..

Please show me the steps to solve this problem

Answers

This is a pre-algebra problem. I'll go through the steps with you. If you don't get it, don't be afraid to ask!

Step One - Cross Multiply

These are fractions, but that doesn't mean you have to add them. Fractions are just the numerator divided by the denominator. So to 'remove' the 9, multiply both sides by 9. To 'remove' the 6, multiply both sides by 6. (We multiply both sides of the equation by the same number because we need to make each side the same). Note that when you multiply both sides by 9 or 6, you have to multiply the whole part.

(2x+1)×6 = (1-1)×9

Distribute.

12x+6 = 9-9

Step Two - Solve the Equation

So we are left with this equation after cross multiplying:

12x+6 = 9-9

First, we can start by subtracting 9 from 9, because those are the same types of numbers.

12x+6 = 0

Now, we have to 'remove' the 6. We can do that by subtracting each side by 6.

(12x+6)-6 = 0-6

12x = -6

Now we are left this this.

We need to 'remove' the 12 now, so we can isolate the x. Since 12 is multiplied to x, we divide each side by 12.

(12x)÷12 = -6÷12

We get x = -1/2

x = -1/2 or -0.5

Hope this helped!

Help me out hereeeeeeeeeee

Answers

Answer:

The gravitational attraction between them would decrease.

The straight line L has equation y = 2x - 5
Find an equation of the straight line perpendicular to L which passes through (-2, 3).

Answers

Answer:

slope of perpendicular line - m = -1/2

passing through (-2,3)

thus,

y-3 = -1/2 (x+2)

or y = -1/2x +2

An equation of the straight line perpendicular to [tex]\boldsymbol{y=2x-5}[/tex] which passes through [tex]\boldsymbol{(-2,3)}[/tex] is [tex]\boldsymbol{x+2y-4=0}[/tex]

An equation of a straight line is [tex]\boldsymbol{y=2x-5}[/tex]

Compare this equation with the form [tex]\boldsymbol{y=mx+b}[/tex] where [tex]\boldsymbol{m,b}[/tex] denote slope and [tex]\boldsymbol{y-}[/tex]intercept respectively.

So,

[tex]\boldsymbol{m=2}[/tex]

As the slopes of two perpendicular lines are negative reciprocals of each other, slope of a required line is equal to [tex]n=\frac{-1}{2}[/tex]

Take [tex](x_1,y_1)=(-2,3)[/tex]

Equation of the required line is [tex]\boldsymbol{y-y_1=n(x-x_1)}[/tex]

       [tex]y-3=\frac{-1}{2}(x+2)[/tex]

     [tex]2y-6=-1(x+2)[/tex]

[tex]x+2y-4=0[/tex]

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Two magnets push away from each other and do not attract. What do we know to be true and what type of force is being demonstrated? Write 2 or more sentences to support your answer :)

Answers

Answer: it could be a mangintic force..  Because if two magnets a.k.a the north and south pole magnets are brought together they will push each other away instead of sticking.

Hope this helps

Answer:

They are repeling because they are both negitively charged

Step-by-step explanation:

please mark brainelist

15 rounded to the nearest hundredth

Answers

Step-by-step explanation:

ummmmmmmm how does that work

What is -(3x - 12) = 9 x -4

Answers

Answer:

X = 1.3

Step-by-step explanation:

In the number 37,278, how many times greater is the 7 in the thousand place

Answers

Answer:

100

Step-by-step explanation:

7000 to 70

7000/70 = 100

What is the solution for the system of equations that has a sum of 1 and
differece of 9?

Answers

Answer 9

Step-by-step explanation:

Need help asap i hate these type of questions but i know it isnt to hard

Answers

Answer:

A,C,D are correct

X=2
X=2
X= 3/2
X=2/3

Answers

X=3 because it will be 27

Please help me, thank you!

Answers

Answer:

10*g-4

Step-by-step explanation:

By the way * is multiplicaton

Is finding the value for the variable the only solution to real-world problems? Explain.

Answers

Answer:

The answer is "No. In many real-world scenarios, the variable is a value that is compared to other quantities. The value for the variable is used to find the quantities it is compared to".

Step-by-step explanation:

Kennedy has 8 feet of ribbon. She wants to cut the ribbon into smaller pieces to make bows, but first she needs to figure out how many inches of ribbon she has. Kennedy knows 12 inches = 1 foot. How many inches of ribbon does she have?

Answers

Answer:

She has 96 inches of ribbon.

Step-by-step explanation:

12 times 8 = 96.

Answer:

so 12 inches = 1 foot

she has 8 feet so,

let x be the amount of ribbon she has

12*8=x

Step-by-step explanation:

12*8=96

she has 96 inches of ribbon

a room contains 156.1m of air . if the room is 8.31m long and 5.72m wide . use tabe to calculate it height​

Answers

Answer:

height=3.28m

Step-by-step explanation:

air means volume of room

let the height of room be x.

so, volume of room= 156.1 m³

          8.31*5.72*x=156.1m³

           x =3.28m

Select whether the function is discrete or continuous.

Function: The number of basketballs manufactured per day

Answers

Answer:

Continuous

Step-by-step explanation:

Drag each number to the correct location on the table. Not all numbers will be used.
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results. Complete the table below.

24
22
0.176
18
0.232
37
0.048
0.104

Answers

Answer:

Complete Table:

Result of Roll ------ Frequency ------- Experimental Probability

1 --------------------------- 22 ------------------- 0.176

2 --------------------------- 13 ------------------- 0.104

3 --------------------------- 18 ------------------- 0.144

4 --------------------------- 29 ------------------- 0.232

5 --------------------------- 37 ------------------- 0.296

6 --------------------------- 6 ------------------- 0.048

Step-by-step explanation:

Required: Complete the table

The table is divided into 3:

1. Result of Roll

2. Frequency (F)

3. Experimental Probability (P)

The relationship between (2) and (3) is:

[tex]P = \frac{F}{N}[/tex]

Where

N = Number of Rolls

N = 125

For Roll of Result = 2

Frequency = 13

The probability is calculated as thus:

[tex]P = \frac{13}{125}[/tex]

[tex]P = 0.104[/tex]

For Roll of Result = 3

Probability = 0.144

The Frequency is calculated as thus:

[tex]0.144 = \frac{F}{125}[/tex]

[tex]F = 0.144 * 125[/tex]

[tex]F = 18[/tex]

For Roll of Result = 4

Frequency = 29

The probability is calculated as thus:

[tex]P = \frac{29}{125}[/tex]

[tex]P = 0.232[/tex]

For Roll of Result = 5

Probability = 0.296

The Frequency is calculated as thus:

[tex]0.296 = \frac{F}{125}[/tex]

[tex]F = 0.296* 125[/tex]

[tex]F = 37[/tex]

For Roll of Result = 6

Frequency = 6

The probability is calculated as thus:

[tex]P = \frac{6}{125}[/tex]

[tex]P = 0.048[/tex]

For Roll of Result = 1.

To get the frequency; we subtract the sum of frequencies of roll of results 2 to 6 from the total number of rolls.

In other words:

Frequency of 1 = Total Rolls - (Frequency of 2 + Frequency of 3 + Frequency of 4 + Frequency of 5 + Frequency of 6)

Frequency of 1 = 125 - (13 + 18 + 29 + 37 +6)

Frequency of 1 = 125 - 103

Frequency of 1 = 22

The probability is calculated as thus:

[tex]P = \frac{F}{N}[/tex]

[tex]P = \frac{22}{125}[/tex]

[tex]P = 0.176[/tex]

Given are the functions f(x) = x ^ 2 and g(x) = (x - 2) ^ 2 + 1 How can the graph of g(x) be obtained from the graph of f(x) ?

Answers

Answer:

c because it's the opposite

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