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Find the sum of the first 22 terms of an...

Find the sum of the first `22` terms of an AP whose first term is `4` and the common difference is `(4)/(3)`.

A

`396`

B

`390`

C

`456`

D

`100`

Text Solution

Verified by Experts

The correct Answer is:
A
Given that, `a= 4 and d = (4)/(3)`.
We have, `S_n = (n)/(2) [ 2a + (n-1)d]`
`S_(22) = ((22)/(2)) [(2)(4)+ (22 -1)((4)/(3))] = (11)(8+ 28) = 396`.
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