Question

2,3,7,25,121,,721,?,wht will be next no

Answer 1

Hi there!

Given,
No. series is
2, 3, 7, 25, 121, 721, ?

Here, the series goes as
kth term= [k×(k-1)th term]-(k-1)

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
This is how it can be shown below:

1st term= 2

(2)nd term= [(2)×(previous term)]-(2-1)
=[(2)(2)]-1
=3

(3)rd term = [(3)×(previous term)]-(3-1)
=[(3)×(3)]-2
=7
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(7)th term= [(7)×(sixth term)]-6
= [7*721]-6
= 5041

•°• The required no. is 5041

hope it helps
;)