QA – Placement Quizzes | Progressions | Question 13

Four consecutive terms of an increasing arithmetic sequence are : x, 17, 3x – y² – 2 and 3x + y² – 30. 

The sum of the four numbers will be divisible by:

(A)

2

(B)

4

(C)

5

(D)

None of the above

Answer: (A)

Explanation:

Let\’s rewrite the 4 terms as (17-d), 17, (17+d), (17+2d) where d is the common difference. Then, Sum = (17-d) + 17 + (17+d) + (17+2d) = 17*4 + 2d = 2 * (17*2 + d). So, their sum is divisible by 2.

Quiz of this Question
Please comment below if you find anything wrong in the above post

My Personal Notes arrow_drop_up

Save