Question

9,51,132,416,1676
What is the next number of sequence

Answer 1

in this question it simply multiply the sequence  by 1,2,3,4,5,6 and so on

and than add some number to obtain the  next number it is the simple general intelligence question

explain below

9*1+42=51

51*2+30=132

132*3+20=416

416*4+12=1676

1676*5+6=8386

hence (8386) is  the next  number in sequence .

Answer 2

Given:  

Sequence of numbers 9,51,132,416,1676.  

To Find:  

The next number of the mentioned sequence.

Procedure:  

The next number of the sequence can be found by obtaining a logic that is common between every number.  

1. The given sequence is 9,51,132,416,1676.  

2. The second term in the sequence i.e, 52 is obtained by the following logic:  

51 = 9*1 + 42.  

3. The third term in the sequence i.e, 132 is obtained by the logic:  

132 = 51*2 + 30.    

4. The fourth term in the sequence i.e 416 is obtained by the logic:  

416 = 132*3 + 20.  

5. The fifth term in the sequence i.e 1676 is obtained by the logic:  

1676 = 416*4 + 12.  

6. From the above steps it is clear that a pattern is followed, Therefore the next number can be found by applying the same logic i.e,  

Next number of the sequence = 1676*5 + 6,  

=> 1676*5 + 6 = 8386.  

Therefore, The next number of the sequence is 8386.

The sequence is 9,51,132,416,1676,8386.