Let ${a_1},{a_2}, \ldots ,{a_{10}}$ be in AP and ${h_1},{h_2}, \ldots ,{h_{10}}$ be in HP. If ${a_1} = {h_1} = 2{\rm{\;and\;}}{a_{10}} = {h_{10}} = 3$ then ${a_4}{h_7}$ is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Let

{a_1},{a_2}, \ldots ,{a_{10}}

be in AP and

{h_1},{h_2}, \ldots ,{h_{10}}

be in HP. If

{a_1} = {h_1} = 2\mathrm{\;and\;}{a_{10}} = {h_{10}} = 3

then

{a_4}{h_7}

View answer and explanation

Correct option: D

Option D (6) is correct because it is the product of the 4th term of the AP and the 7th term of the HP, calculated using the properties of AP and HP.

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