Question

find out the next no in the following series 1,1,5,49,11,169,19,? ans 361

Answer 1

1 , 1 , 5 , 49 , 11 , 169, 19  , 361

Solution:

Given series:

1 , 1 , 5 , 49 , 11 , 169, 19 , ?

We have to find the next term in series

Let us analyse the logic used here

From given,

1 , 1 , 5 , 49 , 11 , 169, 19

There are two series combined here

First one is:

1 , 5 , 11 , 19

Second one is:

$1^2 = 1\\\\7^2 = 49\\\\13^2 = 169\\\\19^2 = 361$

Thus the complete series is:

1 , 1 , 5 , 49 , 11 , 169, 19  , 361

Thus the next term in series is 361

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