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Chapter 12: Q. 288 (page 1219)

In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given.

Finda11whena1=10,000,000,r=0.1.

Short Answer

Expert verified

The eleventh term of the sequence is0.001.

Step by step solution

01

Step 1. Given and explanation.

We have the first term as 10,000,000and the common ratio as 0.1.

We know that the general term of a geometric sequence is an=a1rn-1, wherea1,r are the first term and the ratio respectively.
Applying this formula will give us the required term.

02

Step 2. Finding eleventh term.

We know that a1=10,000,000

and r=0.1. Substituting this value in the formula gives us,

localid="1645348524243" an=a1脳rn-1a11=10,000,000脳(0.1)11-1a11=10,000,000脳(0.1)10a11=0.001
Thus we get the eleventh term as 0.001.

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