27 JEE Main 2019 Sequences and Series previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2019 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.
The sum of the series 1 + 2 × 3 + 3 × 5 + 4 × 7 + … upto 11 t h term is:
Let a 1 ,   a 2 ,   … ,   a 30 be an A.P., S =   ∑ i = 1 30 a i and T =   ∑…
If a ,   b and c be three distinct real numbers in G.P. and a + b + c = x b , then x cannot be:
Let Sn=1+q+q²+… .+qⁿ and Tn=1+ (q+12 )+ (q+12 )²+…+ (q+12 )ⁿ where q is a real number and q ≠ 1. If ¹⁰¹ C₁+ ¹⁰¹ C₂ · S₁…
If a 1 , a 2 , a 3 , . . . . are in A.P. such that a 1 + a 7 + a 16 = 40 , then the sum of the first 15 terms of this A…
If the sum of the first 15 terms of the series 3 4 3 + 1 1 2 3 + 2 1 4 3 + 3 3 + 3 3 4   3 + … is equal to 2…
The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is
Let S k = 1   +   2   +   3 + … + k k . If S 1 2 + S 2 2 + … + S 10 2 = 5 12 A , then A…
The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is (27)/(19). Th…
The sum of all natural numbers n such that 100 < n < 200 and H . C . F . 91 , n > 1 is
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