New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sequences and Series question

2023 · 31 Jan · Shift 1 · Q28

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Sequences and Series
2023 · 31 Jan · Shift 1 · Q28

Sequences and Series question

2023 · 31 Jan · Shift 1 · Q28

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

If the sum and product of four positive consecutive terms of a G.P., are 126 and 1296 , respectively, then the sum of common ratios of all such GPs is

A
7
B
14
C
3
D
$\frac{9}{2}$

More from Sequences and Series

Let $a_{1}, a_{2}, \dots, a_{n}$ be in A.P. If $a_{5} = 2 a_{7}$ and $a_{11} = 18$ , then $12 (\frac{1}{a _{10} + a _{11}} + \frac{1}{a _{11} + a _{12}} + \dots + \frac{1}{a _{17} + a _{18}})$ is equal to …2023 · Numerical
Let $a_{1}, a_{2}, a_{3}, \dots$ be an A.P. If $a_{7} = 3$ , the product $a_{1} a_{4}$ is minimum and the sum of its first $n$ terms is zero, then $n! - 4 a_{n (n + 2)}$ is equal to :2023 · MCQ
If ${a_{i}}_{i = 1}^{n}$ , where n is an even integer, is an arithmetic progression with common difference 1, and $i = 1 \sum n a_{i} = 192, i = 1 \sum n /2 a_{2 i} = 120$ , then n is equal to :2022 · MCQ
Let x, y > 0. If x3y2 = 215, then the least value of 3x + 2y is2022 · MCQ
Let $a, b$ be two non-zero real numbers. If $p$ and $r$ are the roots of the equation $x^{2} - 8 a x + 2 a = 0$ and $q$ and s are the roots of the equation $x^{2} + 12 b x + 6 b = 0$ , such that $\frac{1}{p}, \frac{1}{q}, \frac{1}{r}, \frac{1}{s}$ …2022 · Numerical
Consider two G.Ps. 2, 22, 23, ..... and 4, 42, 43, .... of 60 and n terms respectively. If the geometric mean of all the 60 + n terms is $(2)^{\frac{225}{8}}$ , then $k = 1 \sum n k (n - k)$ is equal to :2022 · MCQ
Different A.P.'s are constructed with the first term 100, the last term 199, and integral common differences. The sum of the common differences of all such A.P.'s having at least 3 terms and at most 33 terms is .2022 · Numerical
If a1 (> 0), a2, a3, a4, a5 are in a G.P., a2 + a4 = 2a3 + 1 and 3a2 + a3 = 2a4, then a2 + a4 + 2a5 is equal to .2022 · Numerical