Find the 9th term of the geometric sequence calculator

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Geometric sequence
How do you find the 9th term of a geometric sequence?
What is the common ratio of the geometric sequence calculator?

Geometric progression

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[1] 2022/07/10 00:49 Under 20 years old / An office worker / A public employee / Very /

Purpose of useUsing it to calculate investment returns.

[2] 2021/03/28 07:30 30 years old level / An engineer / Very /

Purpose of useUsing to find discounted cash flows for my life insurance policy

[3] 2020/07/10 17:59 Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of useHello, can anyone tell me the geometric pogression between -4 and -9 with explantion please. Thankyou so much!

[4] 2020/06/04 01:42 Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of useCalculate in-game resourcesComment/RequestVery accurate, can display large numbers digit by digit

[5] 2020/04/16 12:47 20 years old level / An engineer / Useful /

Purpose of useCalculating my retirement amount :PComment/RequestPrecise and concise

[6] 2020/03/03 09:35 30 years old level / High-school/ University/ Grad student / Very /

Purpose of useFor result

[7] 2019/09/04 19:55 Under 20 years old / Elementary school/ Junior high-school student / Very /

Purpose of useLearning The Math.Comment/RequestLearning the math

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Purpose of useTo calculate some possible returns for a faucet bet.

[9] 2019/02/14 23:04 Under 20 years old / Elementary school/ Junior high-school student / Useful /

Purpose of usemath problemComment/Requestcool

[10] 2018/03/16 22:43 Under 20 years old / High-school/ University/ Grad student / Not at All /

Purpose of useI was looking for a calculator to find the common ratio of a sequence when given the first 3 numbers of that sequence. I can''t seem to find one of those...

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This online calculator can solve geometric sequence problems. Currently, it can help you with the two common types of problems:

Find the n-th term of a geometric sequence given the m-th term and the common ratio. Example problem: A geometric sequence with a common ratio equals -1, and its 1-st term equals 10. Find its 8-th term.
Find the n-th term of a geometric sequence given the i-th term and j-th term. Example problem: An geometric sequence has its 3-rd term equals 1/2, and its 5-th term equals 8. Find its 8-th term.

The detailed description of the solutions is shown through geometric sequence theory underneath the calculator, as always.

Geometric sequence calculator and problems solver

Problem type

Find term by another term and common ratio

Find term by two another terms

First Term of the Geometric Sequence

nth Term of the Sequence Formula

Geometric sequence

To recall, an geometric sequence or geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Thus, the formula for the n-th term is

where r is the common ratio.

You can solve the first type of problems listed above by calculating the first term a1, using the formula

and then using the geometric sequence formula for the unknown term.

For the second type of problems, first, you need to find a common ratio using the following formula derived from the division of equation for one known term by an equation for another known term

After that, it becomes the first type of problem.

For convenience, the calculator above also calculates the first term and general formula for the n-th term of a geometric sequence.

How do you find the 9th term of a geometric sequence?

6. How do you find the nth term of a geometric progression with two terms? First, calculate the common ratio r by dividing the second term by the first term. Then use the first term a and the common ratio r to calculate the nth term by using the formula an=arn−1 a n = a r n − 1 .

What is the common ratio of the geometric sequence calculator?

The above-mentioned sequence is called the geometric sequence where each term in the sequence is multiplied by the common ratio 3 with the previous number. Here, the first term is 1.