In column I some series are given and in column II their \( n^{\text {th }} \) terms are given. ....
In column I some series are given and in column II their \( n^{\text {th }} \) terms are given. Match them.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column - I } & \multicolumn{2}{c|}{ Column - II } \\
\hline (A) \begin{tabular}{l}
\( 3 / 4+5 / 36+7 / 144 \) \\
\( +9 / 400+\ldots \).
\end{tabular} & (p) & \( 3^{n-1}+n \) \\
\hline (B) & \begin{tabular}{l}
\( 2+5+12+31+ \) \\
\( 86+249+\ldots \).
\end{tabular} & (q) & \begin{tabular}{l}
\( 1 / 6\left(n^{3}+6 n^{2}+\right. \) \\
\( 11 n+6) \)
\end{tabular} \\
\hline (C) & \begin{tabular}{l}
\( 4+10+20+35+ \) \\
\( 56+84+120+\ldots \)
\end{tabular} & (r) & \( 1 / 2\left(n^{2}-n+2\right) \) \\
\hline (D) & \begin{tabular}{l}
\( 1+2+4+7+11 \) \\
\( +\ldots \)
\end{tabular} & (s) & \begin{tabular}{l}
\( (2 n+1) / n^{2}(n \) \\
\( +1)^{2} \)
\end{tabular} \\
\hline
\end{tabular}
(1) (A) \( \rightarrow \) (s), (B) \( \rightarrow \) ( \( ( \) p), (C) \( \rightarrow \) (r), (D) \( \rightarrow \) (q)
(2) (A) \( \rightarrow \) (s), (B) \( \rightarrow \) (p), (C) \( \rightarrow \) (q), (D) \( \rightarrow \) (r)
(3) (A) \( \rightarrow \) (q), (B) \( \rightarrow \) (r), (C) \( \rightarrow \) (p), (D) \( \rightarrow \) (s)
(4) (A) \( \rightarrow \) (r), (B) \( \rightarrow \) (p), (C) \( \rightarrow \) (q), (D) \( \rightarrow \) (s)
.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-23 | \( \mathrm{A}(1,3) \) and \( \mathrm{C}\left(-\frac{2}{5}, \frac{-2}{5}\right) \) are the vertic.... |
| 2024-01-23 | Consider a triangle \( A B C \) with vertex \( A(2,-4) \). Then internal
bisectors of the angles.... |
| 2024-01-23 | \( \mathrm{A}(1,3) \) and \( \mathrm{C}\left(-\frac{2}{5}, \frac{-2}{5}\right) \) are the vertic.... |
| 2024-01-23 | The equation(s) of the medians of the triangle formed by the points \( (4,8),(3,2) \) and \( (5,.... |
| 2024-01-23 | If one of the lines given by the equation \( a x^{2}+6 x y+ \) \( b y^{2}=0 \) bisects the angle.... |
| 2024-01-23 | The value(s) of \( t \) for which the lines \( 2 x+3 y=5, t^{2} x+ \) ty \( -6=0 \) and \( 3 x-2.... |
| 2024-01-23 | If one of the lines given by \( 6 x^{2}-x y+4 c y^{2}=0 \) is \( 3 x+ \)
\( 4 y=0 \), then \( c=.... |
| 2024-01-23 | The vertices of triangle \( A B C \) are \( A(-1,-7), B(5,1) \) and \( C(1,4) \). The equation o.... |
| 2024-01-23 | If \( \mathrm{P}, Q \) and \( R \) are three points with coordinates \( (1,4) \), \( (4,5) \) an.... |
| 2024-01-23 | The equation of two adjacent sides of rhombus are given by \( y=x \) and \( y=7 x \). Then diago.... |
| 2024-01-23 | In column I some series are given and in column II their \( n^{\text {th }} \) terms are given. .... |
| 2024-01-23 | The point \( P(3,3) \) is reflected across the line \( y=-x \). Then it is translated horizontal.... |
| 2024-01-23 | The orthocenter of the triangle formed by the lines \( x \) \( -7 y+6=0,2 x-5 y-6=0 \) and \( 7 .... |
| 2024-01-23 | In a triangle \( A B C \), if \( \mathrm{A} \) is \( (1,2) \) and the equations of the medians t.... |
| 2024-01-23 | The equation of image of pair of lines \( y=|x-1| \) with respect to \( y \)-axis is:.... |
| 2024-01-23 | The combined equation of two adjacent sides of a rhombus formed in first quadrant is \( 7 x^{2}-.... |
| 2024-01-23 | The number of integral points inside the triangle made by the line \( 3 x+4 y-12=0 \) with the c.... |
| 2024-01-23 | If the equation \( 4 y^{3}-8 a^{2} y x^{2}-3 a y^{2} x+8 x^{3}=0 \) represent
three straight lin.... |
| 2024-01-23 | The equations \( x=t^{3}+9 \) and \( y=\frac{3 t^{3}}{4}+6 \) represents a
straight line where \.... |
| 2024-01-23 | All the chords of the curve \( 2 x^{2}+3 y^{2}-5 x=0 \) which subtend a right angle at the origi.... |
| 2024-01-23 | The vertex of right angle of a right angled triangle lies on the straight line \( 2 x+y-10=0 \) .... |
0