Q58. - Algebra 2

Question

What number follows 20 in this arithmetic sequence?

 

8, 11, 14, 17, 20, …

 

A) 5

B) 23

C) 26

D) 29

Step-by-Step Solution

Answer

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

Step 1. Given Information.

The given arithmetic sequence is 8, 11, 14, 17, 20, …

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  $11-8=3$

The difference between the next two terms is  $14-11=3$

So, the common difference is 3.

 

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

Step 3. Conclusion .

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