Question

Hey guys!!!
help me out with the given question.

Answer 1

Sn = 2n^2 + 3n

=> n/2 [ 2a + (n-1)d] = n( 2n +3)

=> 2a +(n-1) d = 2(2n + 3)

=> 2a +(n-1) d = 4n + 6

=> 2a +(n-1) d = 10 + 4n - 4

=> 2a +(n-1) d = 10 +4(n-1)

On Comparing both sides, we get

2a = 10

=> a = 5

And , d = 4

T16 = a + 15d

= 5 + 15× 4

= 5 + 60

= 65