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Chapter 11: Q. 25 (page 586)

Find the first five terms of each arithmetic sequence described.

a1=6,d=鈭�4

Short Answer

Expert verified

The first five terms of the arithmetic sequence described are6, 2, -2, -6, -10.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is described by a1=6,d=鈭�4

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=6

And, the common difference isd=鈭�4 .

The second term in the arithmetic sequence is:

a2=a1+da2=6鈭�4a2=2

The third term in the arithmetic sequence is:

a3=a2+da3=2鈭�4a3=鈭�2

The fourth term in the arithmetic sequence is:

a4=a3+da4=鈭�2鈭�4a4=鈭�6

The fifth term in the arithmetic sequence is:

a5=a4+da5=鈭�6鈭�4a5=鈭�10

03

Step 3. Conclusion.

Hence, the first five terms of the arithmetic sequence described are 6, 2, -2, -6, -10.

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