Sequences and Series: JEE Mains 2024 1st Feb Shift 1

Let 3,6,9,12, up to 78 terms and 5,9,13,17, up to 59 terms be two series. Then, the sum of the terms common to both the series is equal to…

JEE Mains 2022 June 29 Shift 2 · Medium

Let \a_n\_n=0^ be a sequence such that a_0=a_1=0 and a_n+2=2a_n+1-a_n+1 for all n0 . Then, _n=2^a_n7^n is equal to :

JEE Mains 2022 June 29 Shift 1 · Medium

The sum of the infinite series 1+56+126^2+226^3+356^4+516^5+706^6+ is equal to :

JEE Mains 2022 June 29 Shift 2 · Hard

Let (a_n) be a G.P. such that a_1× a_3× a_5× a_7=11296 and a_2+a_4=736 . Then find a_6+a_8+a_10 .

JEE Mains 2022, June 28 - Shift 1 · Hard

If 3, a , b , c are in A.P. and 3, a-1 , b+1 are in G.P. Then arithmetic mean of a , b and c is

JEE Mains 2024 1st Feb Shift 1 · Medium