Respuesta :

Input values are 2,4,6,8 and so on

Input -- > process column --> Output

1 --> 1 * 2 --> 2

2 --> 2*2 --> 4

3 --> 3* 2 --> 6

4 --> 4*2 --> 8

n --> n * 2 --> 2n

In this pattern 2,4,6,8... common difference is 2

If we have common difference d, then use formula an = a+(n-1)d

where a is the first term ( a= 2)

d is the common difference ( d= 2)

So formula is [tex] a_n = 2+ (n-1) *2 [/tex] = [tex] 2 + 2n -2 = 2n [/tex]

Formula to find nth term is 2n