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NVAMediumJEE Main 2023 · 31 January, Shift 1Arithmetic Progression (AP)

Mathematics Question from JEE Main 2023 · 31 January, Shift 1

Let a1,a2,…,ana_1, a_2, \dots, a_n be in A.P. If a5=2a7a_5 = 2a_7 and a11=18a_{11} = 18, then

12(1a10+a11+1a11+a12+⋯+1a17+a18)12 \left( \frac{1}{\sqrt{a_{10}} + \sqrt{a_{11}}} + \frac{1}{\sqrt{a_{11}} + \sqrt{a_{12}}} + \cdots + \frac{1}{\sqrt{a_{17}} + \sqrt{a_{18}}} \right)

is equal to:

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