Question

Sum of n term of the series 1+3+5+ 7 +9..... is :​

Answer 1

Answer:

n^2

Step-by-step explanation:

a = 1

d = 5-3 = 7-5 = 3-1 = 2 (difference between consecutive terms)

Sn = n/2 (2a + (n-1)d)

Sn = n/2 (2 + 2(n-1))

Sn = n/2*2*(1+n-1)

Sn = n(n-1+1)

Sn = n(n)

Sn = n^2