JEE Main Sequences and Series — practice questions
17 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Sequences and Series in the app →The arithmetic mean and geometric mean of two positive numbers are 10 and 8 respectively. The numbers are:For two distinct positive real numbers, their arithmetic mean A and geometric mean G always satisfy:The value of $1^3 + 2^3 + 3^3 + \cdots + 10^3$ is:The sum to infinity of the series $1 + \tfrac{1}{3} + \tfrac{1}{9} + \cdots$ is:In a G.P. the 5th term is 81 and the 2nd term is 3. The common ratio is:The sum of the first 20 terms of an A.P. with first term 2 and common difference 3 is:For $x > 0$, the minimum value of $x + \dfrac{4}{x}$ is:If the sum of two positive numbers is 6 times their geometric mean, the numbers are in the ratio:The value of $n$ for which $\dfrac{a^{n+1}+b^{n+1}}{a^{n}+b^{n}}$ is the geometric mean of $a$ and $b$ is:Three numbers in G.P. have product 216 and sum 19. The numbers are:If the A.M. and G.M. of the roots of a quadratic equation are 8 and 5 respectively, the equation is:For two positive numbers, the arithmetic mean equals the geometric mean if and only if:The sum $1^2 + 2^2 + \cdots + n^2$ equals:The 10th term of the AP $3, 7, 11, 15, \ldots$ is:The sum to $n$ terms of a GP with first term $a = 2$ and ratio $r = 3$ is:The sum of the infinite GP $1 + 1/3 + 1/9 + 1/27 + \cdots$ is:The sum $1^2 + 2^2 + 3^2 + \cdots + 10^2$ equals: