Question
A. 71
B. 56
C. 65
D. 61
Answer: D
Solution:
These are given terms of series.
57, 56, 55, 51, 43, 34, ?
Differences of two consecutive terms can be calculated like this
57 – 56 = 1
56 – 55 = 1
55 – 51 = 4
51 – 43 = 8
43 – 34 = 9
34 – ? =
Now study the differences
1, 1, 4 , 8 , 9 , ….
This can be written as
1², 1³, 2², 2³, 3²,…..
In this pattern next difference would be 3³ and 4²
So next number would be 34 + 3³ = 34 + 27 = 61
And similarly next number would be 61 + 4² = 61 + 16 = 77
So answer = 61
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