(Q12).Find the sum of the following APs:

(i) 2, 7, 12,…, to 10 terms.

Given A.P: 2, 7, 12, …… to 10 terms

a = ; d = a2 – a1 = = ; n =

Sn =
n
2
[2a + (n-1)d]
∴ S10 =
2
[2 × + (-1)]

= [ + × ]

= [ + ]

= ×

=