1

JEE Main 2021 (Online) 20th July Evening Shift

Numerical

+4

-1

Out of Syllabus

Let $$\left\{ {{a_n}} \right\}_{n = 1}^\infty $$ be a sequence such that a

_{1}= 1, a_{2}= 1 and $${a_{n + 2}} = 2{a_{n + 1}} + {a_n}$$ for all n $$\ge$$ 1. Then the value of $$47\sum\limits_{n = 1}^\infty {{{{a_n}} \over {{2^{3n}}}}} $$ is equal to ______________.Your input ____

2

JEE Main 2021 (Online) 16th March Evening Shift

Numerical

+4

-1

Out of Syllabus

S

_{n}(x) = log_{a1/2}x + log_{a1/3}x + log_{a1/6}x + log_{a1/11}x + log_{a1/18}x + log_{a1/27}x + ...... up to n-terms, where a > 1. If S_{24}(x) = 1093 and S_{12}(2x) = 265, then value of a is equal to ____________.Your input ____

3

JEE Main 2021 (Online) 16th March Evening Shift

Numerical

+4

-1

Let $${1 \over {16}}$$, a and b be in G.P. and $${1 \over a}$$, $${1 \over b}$$, 6 be in A.P., where a, b > 0. Then 72(a + b) is equal to ___________.

Your input ____

4

JEE Main 2021 (Online) 16th March Morning Shift

Numerical

+4

-1

Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}. If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to ___________.

Your input ____

Questions Asked from Sequences and Series (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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