JEE Advanced Mathematics question

Mathematics Sequence and Series JEE Advanced

If is a real number such that are three consecutive terms of an AP then the next two consecutive term of the AP are

(A)
(B)
(C)Correct
(D)none of these

Answer: (C)

Solution

For three consecutive terms of an AP, twice the middle term equals the sum of the outer terms:

2(-=+1)+6\ ⇒\ -=+x+6\ ⇒\ ++x+6=0.

By trial : ✓. Dividing

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Question ID VK-107890