Question

5,17,43,89,161 ,? Find the missing number in the given series

Answer 1

hope it will help you....

Answer 2

Given,

Series = 5,17,43,89,161 ..

To Find,

The next term of the series =?

Solution,

Series is 5,17,43,89,161 ..

The first difference of adjacent terms = d1 = 12,26,46,72

The second difference of adjacent terms = d2 = 14,20,26

The third difference of adjacent terms = d3 = 6,6,6
All difference in d3 are same Therefore next term in d3 = 6

d3 = 6,6,6,6

Then the next term in d2 = 26 + 6 =32

d2 =  14,20,26,32

Then the next term in d1 =32 + 72 = 104

d1 = 12,26,46,72,104

The next term in series = 161 + 104 = 265

Hence, the missing number in the given series is 265.