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Chapter 12: Q. 336 (page 1163)

Find a10of the geometric sequence, 1250,250,50,10,2,25,..... Then find a formula for the general term.

Short Answer

Expert verified

In the given geometric sequence, a10=23125and the general term isan=125015n-1.

Step by step solution

01

Step 1. Given information.

Consider the given question,

1250,250,50,10,2,25,....

Then,a1=1250,n=10

General term of geometric sequence is an=a1rn-1......(i).

Common ratio,

2501250=15,50250=15,1050=15

Therefore, r=15.

02

Step 2. Find the required term.

Substitute the values in equation (i),

a10=12501510-1=1250159=1250脳151953125=23125

Substitute a1=1250,r=15in equation (i),

an=125015n-1

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