Question

The next term in the following series is
1, 2, 5, 16, 65, 326, ?
(1) 1956 (2) 1957
(3) 1955 (4) 1987
EXPLAIN

Answer 1

(1×1)+1=2

(2×2)+1=5

(5×3)+1=16

(16×4)+1=65

(65×5)+1=326

(326×6)+1=1957 ans

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Answer 2

Given:  

A series of numbers 1, 2, 5, 16, 65, 326.  

To Find:  

The next term in the series is?  

Solution:  

The given problem can be solved by developing a common logic between every term.  

1. The given series is 1, 2, 5, 16, 65, 326.  

2. The second term in the series is obtained as    

=> Second term = ( 1 x 1 ) + 1 = 2.    

3. The third term in the series is obtained as    

=> third term = ( 2 x 2 ) + 1 = 5.      

4. The fourth term of the series is obtained as,  

=> fourth term = ( 5 x 3 ) + 1 = 16,    

5. The fifth term of the series is obtained as,  

=> fifth term = ( 16 x 4 ) + 1 = 65,    

6. The sixth term of the series is obtained as,  

=> sixth term = ( 65 x 5 ) + 1 = 326,  

7. The next term of the series can be found using the similar  logic,

=> Seventh term = ( 326 x 6 ) + 1 = 1957.

Therefore, the next number in the series is 1957. Option 2 is the correct answer.