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Chapter 11: Q. 23 (page 586)

Find the first five terms of each arithmetic sequence described.

a1=2,d=13

Short Answer

Expert verified

The first five terms of the arithmetic sequence described are2, 15, 28, 41, 54.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is described by a1=2,d=13.

02

Step 2. Calculation.

In an arithmetic sequence a term can be obtained by adding the common difference to the previous term.

Here the first term is a1=2

And, the common difference is d=13.

The second term in the arithmetic sequence is:

a2=a1+da2=2+13a2=15

The third term in the arithmetic sequence is:

a3=a2+da3=15+13a3=28

The fourth term in the arithmetic sequence is:

a4=a3+da4=28+13a4=41

The fifth term in the arithmetic sequence is:

a5=a4+da5=41+13a5=54

03

Step 3. Conclusion.

Hence, the first five terms of the arithmetic sequence described are 2, 15, 28, 41, 54.

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