41 JEE Main 2021 Sequences and Series previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 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 a , b , c be in arithmetic progression. Let the centroid of the triangle with vertices a , c , 2 , b and a , b be 1…
If tan π 9 , x , tan 7 π 18 are in arithmetic progression and tan π 9 , y , tan 5 π 18 are also in…
In an increasing geometric series, the sum of the second and the sixth term is 25 2 and the product of the third and fi…
If e cos 2 x + cos 4 x + cos 6 x + . . . . ∞ log e 2 satisfies the equation t 2 - 9 t + 8 = 0 , then the value of…
If the value of 1 + 2 3 + 6 3 2 + 10 3 3 + … . .   upto   ∞ log 0 . 25 1 3 + 1 3 2 + 1 3 3 + R…
Let S n ( x ) = log a 1 / 2 x + log a 1 / 3 x + log a 1 / 6 x + log a 1 / 11 x + log a 1 / 18 x + log a 1 / 27 x + R…
If log 3 2 , log 3 2 x - 5 , log 3 2 x - 7 2 are in an arithmetic progression, then the value of x is equal to _____.
Let 1 16 , a and b be in G.P. and 1 a , 1   b , 6 be in A.P., where a , b > 0 . Then 72 ( a + b ) is equal to…
The sum of first four terms of a geometric progression G . P . is 65 12 and the sum of their respective reciprocals is…
If 0 < a , b < 1 , and tan - 1 a + tan - 1 b = π 4 , then the value of a + b - a 2 + b 2 2 + a 3 + b 3 3 -…
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