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Chapter 12: Q 149. (page 1198)

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

Finda10givena1=100,000andr=0.1

Short Answer

Expert verified

The value of a10is0.0001.

Step by step solution

01

Step 1. Write the given information and use the formula of general term

The given information is:

a1=100,000andr=0.1

The general term of a geometric sequence with the first term a1and the common ratio ris:

an=a1rn-1

02

Step 2. Substitute the given values into the formula

a1=100,000,r=0.1and n=10

localid="1645332117797" a10=(100,000)(0.1)10-1=(100,000)(0.1)9=(100,000)(0.000000001)=0.0001

a10=0.0001

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