What will be the next term of this series? 4, 9, ?, 34, 54 - mathselab.com

What will be the next term of this series? 4, 9, ?, 34, 54

Question:

What will be the next term of this series? 4, 9, ?, 34, 54

Options:

A. 21
B. 19
C. 23
D. 25

Answer:

B. 19 is the answer.

Solution:

The series is an arithmetic progression, which means that each term is equal to the previous term plus a constant value. In this case, the constant value is 5, 10, 15…. . So, to find the next term, we simply add 5, 10, 15…. to the last term, which is 54.

Here is the complete series:

4, 9, 19, 34, 54

4 + 5 = 9

9 + 10 = 19

19 + 15 = 34

34 + 20 = 54

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