37 JEE Main 2022 Sequences and Series previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 previous-year questions from the Sequences and Series chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Sequences and Series chapter hub.
Let 3 ,   6 ,   9 ,   12 ,   … upto 78 terms and 5 ,   9 ,   13 ,   17 ,  …
2 3 - 1 3 1 × 7 + 4 3 - 3 3 + 2 3 - 1 3 2 × 11 + 6 3 - 5 3 + 4 3 - 3 3 + 2 3 - 1 3 3 × 15 + … . .…
Let a 1 , a 2 , a 3 , … be an A.P. If ∑ r = 1 ∞ a r 2 r = 4 , then 4 a 2 is equal to ______.
If 1 20 - a 40 - a + 1 40 - a 60 - a + … … + 1 180 - a 200 - a = 1 256 , then the maximum value of a is
If a 1 , a 2 , a 3 … and b 1 , b 2 , b 3 … . are A.P. and a 1 = 2 , a 10 = 3 , a 1 b 1 = 1 = a 10 b 10 then…
If 1 2 × 3 × 4 + 1 3 × 4 × 5 + 1 4 × 5 × 6 + … + 1 100 × 101 × 102 = k 10…
Let A = ∑ i = 1 10 ∑ j = 1 10 min i , j and B = ∑ i = 1 10 ∑ j = 1 10 max i , j . Then A + B is…
The sum 1 + 2 · 3 + 3 · 3 2 + … … . . + 10 · 3 9 is equal to
For p , q ∈ R , consider the real valued function f x = x - p 2 - q , x ∈ R and q > 0 . Let a 1 , a 2 ,…
The sum of the infinite series 1 + 5 6 + 12 6 2 + 22 6 3 + 35 6 4 + 51 6 5 + 70 6 6 + … is equal to:
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