Geometric Series Part 2

Algebra Level 1

A geometric series is defined by:

3 n 3n , n n , n 3 \frac{n}{3} , n 9 \frac{n}{9} ,...

Given that the 6th term is 32, find the value of n.


The answer is 2592.

Marshall Lockett by Marshall Lockett , 29, United Kingdom

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2 solutions

Rahil Sehgal
Mar 21, 2017

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Marshall Lockett
Mar 21, 2017

6th term = n 81 \frac{n}{81}

Therefore n 81 \frac{n}{81} = 32

n = 81 x 32

n = 2592

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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