QJEEM24Ma6d88: JEE Main 2024 Mathematics - Class 11 JEEM24Ma6d88 Solution: In an A.P., the sixth term a 6 = 2 . If the product a 1 a 4 a 5 …

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QJEEM24Ma6d88: JEE Main 2024 Mathematics - Class 11 JEEM24Ma6d88 Solution: In an A.P., the sixth term a 6 = 2 . If the product a 1 a 4 a 5 …

In an A.P., the sixth term $a_{6} = 2$ . If the product $a_{1} a_{4} a_{5}$ is the greatest, then the common difference of the A.P. is equal to

Multiple Choice Options

A 23
B 58
C 32
D 85

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Accepted Answer

$\begin{aligned} a_{6} = 2 \Rightarrow a + 5 d = 2 \\ a_{1} a_{4} a_{5} = a (a + 3 d) (a + 4 d) \\ = (2 - 5 d) (2 - 2 d) (2 - d) \\ f (d) = 8 - 32 d + 34 d^{2} - 20 d + 30 d^{2} - 10 d^{3} \\ f^{'} (d) = - 2 (5 d - 8) (3 d - 2) \end{aligned}$

JEE Main 2024 (Online) 29th January Morning Shift Mathematics - Sequences and Series Question 38 English Explanation

$d = \frac{8}{5}$

QJEEM24Ma6d88: JEE Main 2024 Mathematics - Class 11 JEEM24Ma6d88 Solution: In an A.P., the sixth term a 6 = 2 . If the product a 1 a 4 a 5 …

Multiple Choice Options

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