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In Problems 31–38, find the nth term anof each geometric sequence. When given, r is the common ratio.

a6=243;r=-3

Short Answer

Expert verified

Thea1is-1andan=-1·(-3)n-1

Step by step solution

01

Step 1. Write the given information

The common ratio isr=-3anda6=243

02

Step 2. Find the a1 and nth term.

The formula for the nth terms is: an=a1·rn-1

localid="1646971157096" a6=a1·(-3)6-1243=a1·(-3)5243=a1·(-3)5a1=-1

localid="1646971172213" an=-1·(-3)n-1=-1·(-3)n-1

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