Question

if the sum of first n terms of an ap is
$2 {m}^{2}$
+ 3 m and then what is the second term.

Answer 1

Given,
Sn= 2m²+3m
To find,
T2
ATQ,
S1 = 2*1²+3*1 = 5
S2 = 2*2²+3*2 = 2*4+6 = 14
So,
T2 = S2-S1
= 14-5
= 9

Hope this helps you!

Answer 2

Sn - S (n-1) = an
So, a2 = S2 - S1
a2 = {2(2)^2 + 3 x2 } - { 2( 1)^2 + 3 x 1}
a2 = ( 8 + 6) - ( 2 + 3)
a2 = 14 - 5
a2 = 9

Therefore the 2nd term is 9