Question

II: Find the sum of the first 22 terms of the AP: 8,3,2,...​

Answer 1

Explanation:

tn=8+(22-1)x-5

8+(21)x-5=8-105=-97

Answer 2

Your answer starts from here :

8,3,-2,......

Here, a = 8 , d = 3-8 = -5 and n = 22

We know that :

Sn = n/2 { 2a + ( n - 1 ) d }

Therefore,

S₂₂ = 22/2 { 16 + 21 ( - 5 ) }

S₂₂ = 11 ( 16 - 105 )

S₂₂ = 11 ( - 89 )

S₂₂ = - 979

Hence, the sum of first 22 terms of the AP is - 979.