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Let \(a_1, a_2, \ldots \ldots, a_{21}\) be an AP such that \(\sum_{n=1}^{20} \frac{1}{a_n a_{n+1}}=\frac{4}{9}\). If the…

Q1

Let \(a_1, a_2, \ldots \ldots, a_{21}\) be an AP such that \(\sum_{n=1}^{20} \frac{1}{a_n a_{n+1}}=\frac{4}{9}\). If the sum of this AP is 189 , then \(a_6 a_{16}\) is equal to:

[JEE Main 2021, 1 Sep (Shift 2)]

a

57

b

36

c

48

d

72

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