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Chapter 11: Q58. (page 582)

What number follows 20 in this arithmetic sequence?

8, 11, 14, 17, 20, 鈥�

A) 5

B) 23

C) 26

D) 29

Short Answer

Expert verified

B) The number that follows 20 in the arithmetic sequence is 23.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 8, 11, 14, 17, 20, 鈥�

02

Step 2. Calculation.

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

Here the difference between the first two terms is 11鈭�8=3

The difference between the next two terms is 14鈭�11=3

So, the common difference is 3.

The next term after 20 in the arithmetic sequence is 20+3=23

03

Step 3. Conclusion.

Hence, the number that follows 20 in the arithmetic sequence is 23.

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