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Missing Number – Exponent Difference Pattern

Question in image below


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Solution

Consider

4, 5, 8, 17, 44

The pattern is as follows

First term (given) = 4

Nth-term = (Previous Term) + (3^(n -1))

4 + (3^0) = 4 + 1 = 5

5 + (3^1) = 5 + 3 = 8

8 + (3^2) = 8 + 9 = 17

17 + (3^3) = 17 + 27 = 44

Next term:

44 + (3^4) = 44 + 81= 125

So,

125 (Answer)

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