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Chapter 12: Q. 320 (page 1222)

In the following exercises, write the first five terms of the sequence whose general term is given.

an=5n-33n

Short Answer

Expert verified

The first five terms of the sequence an=5n-33n is 23,79.49,1781,22243

Step by step solution

01

Step 1. Given

The general term of the sequence is an=5n-33n

To find the first five terms of the sequence.

02

Step 2. Substitute 1,2 in the general form

Substitute the values 1,2in the general form of the sequence,

a1=5(1)-33(1)=5-33=23

a2=5(2)-33(2)=10-39=79

03

Step 3. Substitute 3,4,5 in the general from.

a3=5(3)-333=15-327=49

a4=5(4)-33(4)=20-381=1781

a5=5(5)-33(5)=25-3243=22243

The five terms of the sequence are 23,79.49,1781,22243

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