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Chapter 12: Q. 290 (page 1219)

In the following exercises, find the indicated term of the given sequence. Find the general term of the sequence.

Find a9of the sequence,4374,1458,486,162,54,18,鈥�

Short Answer

Expert verified

The9thterm of the sequence is43746561

Step by step solution

01

Step 1. Given information

The given G.P. is4374,1458,486,162,54,18,鈥�

02

Step 2. Write general term and find the common ratio.

The general term of geometric sequence is an=a1rn-1

To find common ratio,

r=14584374r=13

03

Step 3. Find the value of a9.

a9=4374139-1a9=4374138a9=4374脳16561a9=43746561

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