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If a1, a2, a3…….. are in AP then if a7 = 15, then the value of common difference that would make a2 a7 a12 greatest is?

If a1, a2, a3…….. are in AP then if a7 = 15, then the value of common difference that would make a2 a7 a12 greatest is? Correct Answer 0

Let d be common difference of the AP. Then, a2 a7 a12 = (15 – 5d)(15)(15 + 5d) = 375(9 – d2) For maximum value d=0.

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