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Question: Answered & Verified by Expert
The sixth term of an AP is 2 and its common difference is greater than 1
What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest? $\quad[2016-I I]$
MathematicsSequences and SeriesNDANDA 2016 (Phase 2)
Options:
  • A $-4$
  • B $-6$
  • C $-8$
  • D $-10$
Solution:
2736 Upvotes Verified Answer
The correct answer is: $-6$
Since, $\mathrm{a}=2-5 \mathrm{x}$
$\Rightarrow \quad a=2-5\left(\frac{8}{5}\right)$
$\Rightarrow \quad a=-6$

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