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:
None of the above
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.
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