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Question

Second term in an AP is 8 and the 8th term is 2 more than thrice the second term. Find the sum up to 8 terms of this AP

CAT 2021

A
124
CORRECT ANSWER WRONG ANSWER
B
108
CORRECT ANSWER WRONG ANSWER
C
96
CORRECT ANSWER WRONG ANSWER
D
110
CORRECT ANSWER WRONG ANSWER
Solution

Correct option is

(A)

Explanatory Answer :

Second term =

a+d=8 ---1

We are given that the 8th term is 2 more than the thrice the second term

Formula of nth term =

ATQ , a+7d=2+3(8)

a+7d=2+24

a+7d=26

Using 1

a+7(8-a)=26

a+56-7a=26

30=6a

5=a

Sum of first n terms =

Hence the sum of first 8 terms is 124