JEE MAINS PRACTICE · Mathematics
Sequences and Series
329 practice questions for JEE Mains Practice — 146 easy · 174 medium · 9 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
3 numbers are in GP therefore, their logarithms are in
MCQ
In $\triangle A B C$, if $\cot A, \cot B$ and $\cot C$ are in $A P$, then $a^2 b^2$ and $c^2$ are in
MCQ
If $0 \lt \alpha, \beta, \gamma \lt \frac{\pi}{2}$ such that $\alpha+\beta+\gamma=\frac{\pi}{2}$ and $\cot \alpha, \cot \beta, \cot \gamma$ are in AP, then the value of $\cot \alpha \cot \gamma$ is
MCQ
If the sum of four numbers in GP is 60 and the arithmetic mean of the first and last numbers is 18 then the numbers are
MCQ
In a triangle, the length of the two larger sides are 24 and 22 , respectively. If the angles are in AP , then the third side is
MCQ
If $\alpha, \beta$ and $\gamma$ are in AP and $\tan ^{-1} \alpha, \tan ^{-1} \beta$ and $\tan ^{-1} \gamma$ are also in AP, then
MCQ
The sum to infinity of the series $1+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\frac{14}{3^4}+\ldots$ is
MCQ
The sum of the first $n$ terms of two AP's are in the ratio $(2 n+3):(3 n-1)$. The ratio of the 5th terms is
MCQ
The sum of $n$ terms of the series $+1+\frac{4}{5}+\frac{7}{5^2}+\frac{10}{5^3}+\ldots$ is
MCQ
If $\log _3 2, \log _3\left(2^x-5\right)$ and $\log _3\left(2^x-\frac{7}{2}\right)$ are in $A P$, the value of $x$ is
MCQ
The sum of the even multiples of 9 between 300 and 500 is
MCQ
If the $n$th term of the geometric progression, $5,-\frac{5}{2}, \frac{5}{4},-\frac{5}{8}, \ldots$ is $\frac{5}{1024}$, then the value of $n$ is