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Write the first five terms of the sequence where the first term is 6and the common ratio is r=-4.

Short Answer

Expert verified

The first five terms are6,-24,96,-384,1536

Step by step solution

01

Step 1. Given information

The first term is 6and the common ratio is r=-4.

02

Step 2. Write the first five terms of the sequence.

Leta,rdenote the first term and the common ratio.

localid="1645292195496" a=6r=-4

localid="1645292202355" an=arn-1a2=6(-4)2-1=-24a3=6(-4)3-1=96a4=6(-4)4-1=-384a5=6(-4)5-1=1536

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