Question

if the sum of first m terms of an ap is 2(m)^(2) +3m then what is its second term

Answer 1

Hello!

Sₘ = 2m² + 3m

✓ When m = 1 :

S₁ = 2( 1 )² + 3( 1 ) = 5 = a₁

✓ When m = 2 :

S₂ = 2( 2 )² + 3( 2 ) = 8 + 6 = 14

Then,

S₂ = a₁ + a₂

⇒14 = 5 + a₂

⇒ a₂ = 14 - 5 = 9

Hence,
The second term is 9.

Cheers!