Find the missing term in the series given below.0, 7, 20, 39, ?, 95 Ops: A. 59 B. 65 C. 69 D. 64
Question
Find the missing term in the series given below.
0, 7, 20, 39, ?, 95
Ops:
A. 59
B. 65
C. 69
D. 64
Solution
The given series is: 0, 7, 20, 39, ?, 95
To find the missing term, let's first try to identify a pattern in the series.
The differences between consecutive terms are:
7 - 0 = 7 20 - 7 = 13 39 - 20 = 19
So, the differences are not constant, which means this is not an arithmetic progression.
However, if we look at the differences between these differences, we get:
13 - 7 = 6 19 - 13 = 6
So, the differences between the differences are constant, which means this is a second-order difference series.
This means that the next difference should also be 6, so the difference between the missing term and 39 should be 19 + 6 = 25.
Therefore, the missing term is 39 + 25 = 64.
So, the answer is D. 64.
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