Let \( a_{n} \) be the nth term of an \( A P \). If \( \sum_{r=1}^{100} a_{2 r}=\alpha \) and
\(.... VIDEO
Let \( a_{n} \) be the nth term of an \( A P \). If \( \sum_{r=1}^{100} a_{2 r}=\alpha \) andhttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2024-01-22 If 11 AM's are inserted between 28 and 10 , the number
of integral AM's is.... 2024-01-22 Consider two quadratic equations \( a_{1} x^{2}+b_{1} x+c_{1}=0 \) and \( a_{2} x^{2}+b_{2} x+c_.... 2024-01-22 The coefficient of \( x^{n-2} \) in the polynomial \( (x-1)(x-2) \)
\( (x-3) \ldots .(x-n) \), i.... 2024-01-22 \begin{tabular}{|l|l|l|l|}
\hline & Column \( \mathbf{I} \) & & Column - II \\
\hline I. & \begi.... 2024-01-22 The sixth term of an \( A P \) is equal to 2 . The value of the
common difference of the \( A P .... 2024-01-22 If \( a, b, c \) and \( d \) are four positive real numbers such that
\( a b c d=1 \), the minim.... 2024-01-22 The sum of the first ten terms of an \( A P \) is four times the
sum of the first five terms, th.... 2024-01-22 If the arithmetic progression whose common difference is non-zero, the sum of first \( 3 n \) te.... 2024-01-22 If \( a_{1}, a_{2}, a_{3}, \ldots \) are in \( G P \) with first term \( a \) and common
ratio \.... 2024-01-22 If \( a, b, c \) are in \( A P \) and \( (a+2 b-c)(2 b+c-a)(c+a- \)
b) \( =\lambda a b c \), the.... 2024-01-22 Let \( a_{n} \) be the nth term of an \( A P \). If \( \sum_{r=1}^{100} a_{2 r}=\alpha \) and
\(.... 2024-01-22 If \( a_{1}, a_{2}, a_{3}, a_{4}, a_{5} \) are in HP, then \( a_{1} a_{2}+a_{2} a_{3}+a_{3} a_{4.... 2024-01-22 Consider the pattern shown below:
\begin{tabular}{lllll} Row & 1 & 1 & & \\
Row & 2 & 3 & 5 & \\.... 2024-01-22 For any real \( x \), the expression \( 2(k-x)\left[x+\sqrt{x^{2}+k^{2}}\right] \)
can exceed
W).... 2024-01-22 \begin{tabular}{|l|l|l|l|}
\hline & Column -I & & Column - II \\
\hline I. & \begin{tabular}{l} .... 2024-01-22 Number of real solutions of the equation
\( 5+\left|2^{x}-1\right|=2^{x}\left(2^{x}-2\right) \) .... 2024-01-22 If the sides of a right angled triangle from an \( A P \), the
sines of the acute angles are.... 2024-01-22 The number of real solutions of the equation
\( |x|^{2}-3|x|+2=0 \) is:.... 2024-01-22 Consider two quadratic equations \( a_{1} x^{2}+b_{1} x+c_{1}=0 \) and \( a_{2} x^{2}+b_{2} x+c_.... 2024-01-22 If \( \lambda_{1} \) and \( \lambda_{2} \) are the two values of \( \lambda \) such that the roo.... 2024-01-22 A denotes the product \( x y z \) where \( x, y \) and \( z \) satisfy
\[
\begin{array}{l}
\log ....
0