(Q19).In an AP:

(i) Given a = 5, d = 3, an = 50. find n and Sn.

Given :

a = ; d = ;

an = a + (n – 1)d = 50

= + (n – 1)

= n –

n = +

⇒ n =
=
Now, Sn =
n
2
(a + l)
S16 =
2
( + )

= ×

=