Instructions

What should come in place of the question mark (?) in the following number series?

Question 130

1, 5, 13, 29, ?, 125, 253

Solution

Successive powers of 2 are added

1 + $$2^2$$ = 5

5 + $$2^3$$ = 13

13 + $$2^4$$ = 29

29 + $$2^5$$ = 61

61 + $$2^6$$ = 125

125 + $$2^7$$ = 253

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