JEE Main 2022 — Sequences And Series Question with Solution
From: JEE Main 2022 (Online) 27th June Evening Shift
Question
If a1, a2, a3 ...... and b1, b2, b3 ....... are A.P., and a1 = 2, a10 = 3, a1b1 = 1 = a10b10, then a4 b4 is equal to -
Choose an option
Show full solutionCorrect option: D
Step-by-step explanation
a1, a2, a3 .... are in A.P. (Let common difference is d1)
b1, b2, b3 .... are in A.P. (Let common difference is d2)
and a1 = 2, a10 = 3, a1b1 = 1 = a10b10
a1b1 = 1
b1 =
a10b10 = 1
b10 =
Now, a10 = a1 + 9d1 d1 =
b10 = b1 + 9d2 d2 = =
Now, a4 = 2 + =
b4 = =
a4b4 =
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