WBJEE · Maths · Sequences and Series
If 64,27,36 are the Pth \(Q\) th and \(R\) th terms of a GP, then \(P+2 Q\) is equal to
- A \(R\)
- B \(2 R\)
- C \(3 R\)
- D \(4 R\)
Answer & Solution
Correct Answer
(C) \(3 R\)
Step-by-step Solution
Detailed explanation
Let a be the first term and \(r\) be the common ration of a GP. \(\therefore P^{\text {th }}, Q^{\text {th }}\) and \(R^{\text {th }}\) terms of a GP are respectively ar \({ }^{\mathrm{P}-1}\), ar \(\mathrm{Q}^{-1}\) and \({a r}^{\mathrm{R}-1}\). According to question,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- A rifleman is firing at a distant target and has only \(10 \%\) chance of hitting it. The least number of rounds he must fire to have more than \(50 \%\) chance of hitting it at least once, isWBJEE 2020 Medium
- Let \(a, b, c\) be such that \(b(a+c) \times 0\)
If \(\left|\begin{array}{ccc}a & a+1 & a-1 \\ -b & b+1 & b-1 \\ c & c-1 & c+1\end{array}\right|\)
\(+\left|\begin{array}{ccc}a+1 & b+1 & c-1 \\ a-1 & b-1 & c+1 \\ (-1)^{n+2} a & (-1)^{n+1} b & (-1)^{n} c\end{array}\right|=0\)
then the value of \(n\) isWBJEE 2017 Medium - The intercept on the line \(y=x\) by the circle \(x^2+y^2-2 x=0\) is \(A B\). Equation of the circle with \(A B\) as diameter isWBJEE 2011 Medium
- Let \(A=\left(\begin{array}{ccc}0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0\end{array}\right)\), thenWBJEE 2024 Easy
- A point moves in such a way that the difference of its distance from two points (8,0) and (-8,0) always remains \(4 .\) Then, the locus of the point isWBJEE 2012 Easy
- Let \(\mathrm{A}=\left(\begin{array}{ccc}3-\mathrm{t} & 1 & 0 \\ -1 & 3-\mathrm{t} & 1 \\ 0 & -1 & 0\end{array}\right)\) and \(\operatorname{det} \mathrm{A}=5\), thenWBJEE 2020 Easy
More PYQs from WBJEE
- Let \(\mathrm{a}, \mathrm{b}, \mathrm{c}\) be three real numbers such that \(\mathrm{a}+2 \mathrm{~b}+4 \mathrm{c}=0\). Then the equation \(\mathrm{ax}^2+\mathrm{bx}+\mathrm{c}=0\)WBJEE 2011 Hard
- If \(I_n=\int_0^{\frac{\pi}{2}} \cos ^n x \cos n x d x\), then \(I_1, I_2, I_3 \ldots\) are inWBJEE 2023 Medium
- \(f(x)\) is real valued function such that \(2 f(x)+3 f(-x)=15-4 x\) for all \(x \in R\). Then \(f(2)=\)WBJEE 2021 Easy
- The coefficient of \(x^n\), where \(n\) is any positive integer, in the expansion of \(\left(1+2 x+3 x^2+\ldots \ldots \ldots\right)^{1 / 2}\) isWBJEE 2009 Hard
- \(\int \sqrt{1+\cos x} d x\) is equal toWBJEE 2010 Easy
- The order of decreasing ease of abstraction of hydrogen atoms in the following molecule
WBJEE 2014 Easy