JEE MAINS PRACTICE · Mathematics
Sequences and Series
368 practice questions for JEE Mains Practice — 121 easy · 123 medium · 124 hard. Every question is graded instantly with a step-by-step solution when you miss it.
Start free practice →Sample questions
MCQ
3 numbers are in GP therefore, their logarithms are in
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
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
If $a^2, b^2$ and $c^2$ are in AP, then $b+c, c+a$ and $a+b$ are in $\qquad$
MCQ
The sum to $n$ terms of the series: $\frac{1}{1+1^2+1^4}+\frac{2}{1+2^2+2^4}+\frac{3}{1+3^2+3^4}+\ldots$ is
MCQ
The sum to $n$ terms of the series $\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+\ldots$ is
MCQ
The sum of infinite terms of the geometric progression $\frac{\sqrt{2}+1}{\sqrt{2}-1}, \frac{1}{2-\sqrt{2}}, \frac{1}{2}, \ldots$ is
MCQ
Sum of the series to $n$ terms $5+7+13+31+85+\ldots$ is
MCQ
The sum of the series $0.2+0.004+0.00006+0.0000008+\ldots \infty$ is
MCQ
The sum of the even multiples of 9 between 300 and 500 is
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