If you're enjoying our video course, help spread the word on Twitter.

- GMAT Video Course
- Video Course Overview - READ FIRST
- General GMAT Strategies - 7 videos (all free)
- Data Sufficiency - 16 videos (all free)
- Arithmetic - 38 videos (some free)
- Powers and Roots - 36 videos (some free)
- Algebra and Equation Solving - 73 videos (some free)
- Word Problems - 48 videos (some free)
- Geometry - 42 videos (some free)
- Integer Properties - 38 videos (some free)
- Statistics - 20 videos (some free)
- Counting - 27 videos (some free)
- Probability - 23 videos (some free)
- Analytical Writing Assessment - 5 videos (all free)
- Reading Comprehension - 10 videos (all free)
- Critical Reasoning - 38 videos (some free)
- Sentence Correction - 70 videos (some free)
- Integrated Reasoning - 17 videos (some free)

- Learning Guide
- Extra Resources
- Guarantees
- About
- Get Started

## Comment on

Introduction to Sequences## Each term in sequence S is

Each term in sequence S is determined by multiplying the prior term by 2 and dividing that product by 3. What is the 100th term of the sequence S?

(1) The sum of the first 2 terms is 15

(2) The first term of the sequence is 9

## Hi Rajkumar,

Hi Rajkumar,

I just posted a solution to that question here: https://gmatclub.com/forum/each-term-in-sequence-s-is-determined-by-mult...

Cheers,

Brent

## Sir, but in statement 2,

If we multiply the first term by 2/3 we are getting the second term as 6, and next terms 4,8/3......etc.Here the common difference varies.Hence how it is possible to find 100th term?

## Here's how:

Here's how:

term1 = 9

term2 = (9)(2/3) = 6

term3 = (9)(2/3)(2/3) = 4

term4 = (9)(2/3)(2/3)(2/3) = 8/3

term5 = (9)(2/3)(2/3)(2/3)(2/3) = 16/9

.

.

.

If you recognize that we can keep doing this indefinitely, then you can see that we COULD determine the value of term100

We might also see the pattern and recognize that term100 = (9)(2/3)^99

## Add a comment