JEE Main 2024 — Sequences and Series Questions with Solutions

Let 2 nd , 8 th and 44 th , terms of a non-constant A . P . be respectively the 1 st , 2 nd and 3 rd terms of G . P . I…

Let 3 , 7 , 11 , 15 , . . , 403 and 2 , 5 , 8 , 11 , . . . , 404 be two arithmetic progressions. Then the sum, of the c…

If three successive terms of a G.P. with common ratio r r > 1 are the length of the sides of a triangle and r denotes t…

If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common rati…

The number of common terms in the progressions 4 , 9 , 14 , 19 , … … , up to 25 th term and 3 , 6 , 9 , 12 ,.... up to…

Let the first three terms 2, p and q, with q ≠ 2, of a G.P. be respectively the 7th , 8th and 13th terms of an A.P. If…

If the set R=\(a, b): a+5 b=42, a, b N\ has m elements and ₌₁^m (1-iⁿ ! )=x+i y, where i=√(-1), then the value of m+x+y…

If each term of a geometric progression a 1 , a 2 , a 3 , … with a 1 = 1 8 and a 2 ≠ a 1 , is the arithmetic mean of th…

Let a, a r, a r², be an infinite G.P. If ₌₀\ⁱⁿfty a rⁿ=57 and ₌₀\ⁱⁿfty a³ r³ ⁿ=9747, then a+18 r is equal to

Let three real numbers a, b, c be in arithmetic progression and a+1, b, c+3 be in geometric progression. If a>10 and th…