Question 129

What will come in place of the question mark (?) in the following number series?
20  23  30  43  64  ?

Solution

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Numbers of the form $$n^2 - (n-1)$$ are added, where $$n$$ is an integer starting from 2

23 $$+ 2^2 - 1$$ = 23

23 $$+ 3^2 - 2$$ = 30

30 $$+ 4^2 - 3$$ = 43

43 $$+ 5^2 - 4$$ = 64

64 $$+ 6^2 - 5$$ = 95

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