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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-Main 2024
Let the first term of a series be $\mathrm{T}_1=6$ and its $\mathrm{r}^{\text {th }}$ term $T_r=3 T_{r-1}+6^r, r=2,3, \ldots, n$. If the sum of the...
JEE Main Mathematics Hard
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Q JEE MAIN 2024
Let $a_1, a_2, a_3, \ldots$ be in an arithmetic progression of positive terms. Let $A_k=a_1{ }^2-a_2{ }^2+a_3{ }^2-a_4{ }^2+\cdots+a_{2 k-1}{ }^2-a_{2 k}{ }^2$. If $...
JEE Main Mathematics Medium
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Q JEE MAIN
If the sum of series $\frac{1}{1 \cdot(1+d)}+\frac{1}{(1+d)(1+2 d)}+\cdots \ldots+\frac{1}{(1+9 d)(1+10 d)}$ is equal to 5 , then 50 d is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let the positive integers be written in the form : If the k^"th " row contains exactly k numbers for every natural number k, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If 1/(√1+√2)+1/(√2+√3)+⋯+1/(√99+√100)=m and 1/(1⋅2)+1/(2⋅3)+⋯+1/(99⋅100)=n, then the point (m,n) lies on the line
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let the first three terms $2, p$ and $q$, with $q \neq 2$, of a G.P. be respectively the $7^{\text {th }}, 8^{\text {th }}$...
JEE Main Mathematics Easy
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Q JEE-Main 2024
Let A={n∈[100,700]∩N:n is neither a multiple of 3 nor a multiple of 4}. Then the number of elements in A is _____.
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\cdots \ldots$ upto 10 terms and $\beta=\sum_{n=1}^{10} n^4$. If $4 \alpha-\beta=55 k+40$, then k is equal to
JEE Main Mathematics Easy
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Q JEE-Main 01.02.24_(S1)
Let 3,7,11,15,….,403 and 2,5,8,11,…,404 be two arithmetic progressions. Then the sum, of the common terms in them, is equal to
JEE Main Mathematics Easy
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Q JEE-Main 2024
Let 3,a,b,c be in A.P. and 3,a-1,b+1,c+9 be in G.P. Then, the arithmetic mean of a,b and c is :
JEE Main Mathematics Easy
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