Q170 / 270 · NDA 2016 (Phase 2) · Mathematics

Paragraph: The sixth term of an AP is 2 and its common difference is greater than 1 .
Question: What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest?

A
$-4$
Correct answer
B
$-6$
C
$-8$
D
$-10$

Solution

Since, $a=2-5 \mathrm{x}$ $\begin{aligned} & \Rightarrow \quad \mathrm{a}=2-5\left(\frac{8}{5}\right) \\ & \Rightarrow \quad \mathrm{a}=-6\end{aligned}$

Hence, the correct answer is option: 'B'.

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Paragraph: The sixth term of an AP is 2 and its common difference is greater than 1 .Question: What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest?

Solution

Relevant Questions

Paragraph: The sixth term of an AP is 2 and its common difference is greater than 1 .
Question: What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest?