Question

what is the nth term of even natural number series​

Answer 1

Answer:

First n even natural numbers are 2,4 ,6 ,………., 2n which forms an AP. Here, a = 2, d = 4 - 2 = 2. By using the formula ,Sum of nth terms , Sn = n/2 [2a + (n – 1) d] Sn = n/2 [2(2) + (n -1) 2] Sn = n/2 [4 + 2n – 2]

Answer 2

Answer:

'2n' will be the nth term of even natural number series.

Step-by-step explanation:

The series of even natural numbers

2,4,6,8,............,n

This series is in A.P.

So Here

a= 2 and d= 2

nth term = a+(n-1)d

= 2 +(n-1) 2

= 2 +2n-2

= 2n