Question

3 4 36 80 ... find the missing no. of series

Answer 1

34 =34

36= 34*1 +2

80= 36*2 + 2^3

next no is 80*3 +2^5 = 240+32 = 272

Answer 2

The next term in series 34, 36, 80, .... is 272

Solution:

Given that series is:

34, 36, 80, ....

We have to find the next term in series

Let us analyse the logic used in the series

The pattern followed is:

$34 \times 1 + 2^1 = 34 + 2 = 36\\\\36 \times 2 + 2^3 = 72 + 8 = 80\\\\80 \times 3 + 2^5 = 240 + 32 = 272$

Thus the logic used is multiplying terms by increasing from 1 and adding increasing odd powers of 2

Therefore the next term in series is 272

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