If \( a_{1}, a_{2}, \ldots, a_{n} \) are in H.P., then
\[
\begin{array}{l}
\frac{a_{1}}{a_{2}+a_...
If \( a_{1}, a_{2}, \ldots, a_{n} \) are in H.P., then
\[
\begin{array}{l}
\frac{a_{1}}{a_{2}+a_{3}+\ldots .+a_{n}}, \frac{a_{2}}{a_{1}+a_{3}+\ldots .+a_{n}}, \ldots \ldots \ldots \\
\frac{a_{n}}{a_{1}+a_{2}+\ldots .+a_{n-1}}
\end{array}
\]
are in
(a) A.P.
(b) G.P.
(c) H.P.
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions
2022-11-19 | If \( n \) is an odd natural number, then number of zeros at the end of \( 99^{n}+1 \) is
(a) 2
... |
2022-11-19 | Value of \( S=\sum_{k=1}^{\infty} \sum_{r=0}^{k} \frac{1}{3^{k}}\left({ }^{k} C_{r}\right) \) is... |
2022-11-19 | If the term independent of \( x \) in the expansion of \( \left(\sqrt{x}-\frac{k}{x^{2}}\right)^... |
2022-11-19 | If \( m= \) the number of three digit numbers of the form \( x y z \) with \( x, zy, x \neq 0 \)... |
2022-11-19 | If \( m= \) the number of natural numbers lying between 100 and 1000 that can be formed by using... |
2022-11-19 | If \( x^{2 r} \) occurs in \( \left(x+\frac{2}{x^{2}}\right)^{n} \), then \( n-2 r \) must be of... |
2022-11-19 | Let \( S_{n}=\sum_{r=1}^{n} t_{r}=\frac{1}{6} n\left(2 n^{2}+9 n+13\right) \), then \( \sum_{r=1... |
2022-11-19 | Let \( m= \) the number of ways in which 15 identical objects can be distributed among 6 people,... |
2022-11-19 | In a sequence of 21 terms the first 11 terms are in A.P. with common difference 2 and the last 1... |
2022-11-19 | Suppose \( a, b, c \) are in A.P. Let \( A, G \) be the arithmetic mean and geometric mean betwe... |
2022-11-19 | If \( a_{1}, a_{2}, \ldots, a_{n} \) are in H.P., then
\[
\begin{array}{l}
\frac{a_{1}}{a_{2}+a_... |
2022-11-19 | If \( a, b, c \) are in G.P., then \( \frac{1}{a^{2}-b^{2}}+\frac{1}{b^{2}} \) equals
(a) \( \fr... |
2022-11-19 | If \( a, b, c, d \) are in H.P., then value of \( \frac{a^{-2}-d^{-2}}{b^{-2}-c^{-2}} \) is
(a) ... |
2022-11-19 | Let \( a, b, c \) be distinct real numbers which are in G.P. If \( x \in \mathbf{R} \) is such t... |
2022-11-19 | If \( x, y, z \) are real and \( 4 x^{2}+9 y^{2}+16 z^{2}-6 x y-12 y z-8 z x=0 \) then \( x, y, ... |
2022-11-19 | If \( a, b, c \) are three distinct numbers such that \( a, b \), \( c \) are in A.P. and \( a, ... |
2022-11-19 | If \( a, b, c \) are in G.P. then \( \frac{b-a}{b-c}+\frac{b+a}{b+c} \) equals
(a) 0
(b) \( -1 \... |
2022-11-19 | \[
\begin{array}{r}
\lim _{n \rightarrow \infty}\left[\frac{1^{2}+2^{2}+\ldots . .+n^{2}}{5 n^{3... |
2022-11-19 | \( \lim _{n \rightarrow \infty}\left(\frac{1}{n^{100}} \sum_{r=1}^{n} r^{99}\right) \) equals
(a... |
2022-11-19 | Directions Answer the following questions based on the below paragraph.
"An aromatic compound \(... |
2022-11-19 | The sum of the series \( \frac{7}{1^{3} \cdot 2^{3}}+\frac{19}{2^{3} \cdot 3^{3}}+\frac{37}{3^{3... |