JEE Main 2018 — Sequences and Series Questions with Solutions

If x₁, x₂, … ., xn and (1)/(h₁), (1)/(h²), … . . (1)/(hn) are two A.P's such that x₃=h₂=8 and x₈=h₇=20, then x₅ . h₁₀ e…

If b is the first term of an infinite G. P whose sum is five, then b lies in the interval.

If b is the first term of an infinite geometric progression whose sum is five, then b lies in the interval

Let a 1 ,   a 2 ,   a 3 , … … , a 49 be in A . P . such that Σ k ⁡ = 0 1 2 a 4 k + 1 =…

Let An= ((3)/(4) )- ((3)/(4) )²+ ((3)/(4) )³-…+(-1)ⁿ⁻¹ ((3)/(4) )ⁿ and Bn=1-An. Then, the least odd natural number p, s…

The sum of the first 20 terms of the series 1 + 3 2 + 7 4 + 15 8 + 31 16 + … is

If a, b, c are in A.P. and a², b², c² are in G.P. such that a < b < c and a+b+c=(3)/(4), then the value of a is

Let 1 x 1 , &#160; 1 x 2 , &#8230; , 1 x n ( x i &#8800; 0 for i = 1 , &#160; 2 , &#8230; . , &#160; n ) be in A.P. suc…

Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series 1 2 + 2 &#183; 2 2 + 3 2 +…

If x 1 , &#160; x 2 , &#160; &#8230; . . , &#160; x n and 1 h 1 , &#160; 1 h 2 , &#160; &#8230; . . , &#160; 1 h n are…