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
| 2024-01-21 | One of the diameters of the circle \( x^{2}+y^{2}-12 x+4 y \) \( +6=0 \) is given by.... |
| 2024-01-21 | Consider a triangle \( A B C \) with vertex \( A(2,-4) \). Then internal bisectors of the angles.... |
| 2024-01-21 | The number of rational point(s) (a point \( (a, b) \) is rational, if \( \mathrm{a} \) and \( \m.... |
| 2024-01-21 | The four points of intersection of the lines \( (2 x-y+1)(x-2 y+3)=0 \) with the axes lies on a
.... |
| 2024-01-21 | If the point \( \left(\alpha, \alpha^{4}\right) \) lies on or inside the triangle formed by line.... |
| 2024-01-21 | If a line segment \( A M=a \) moves in the plane \( X O Y \) remaining parallel to \( O X \) so .... |
| 2024-01-21 | The number of lines that can be drawn passing through point \( (2,3) \) so that its perpendicula.... |
| 2024-01-21 | The locus of the point \( (\sqrt{3 h+2}, \sqrt{3 k}) \). If \( (h, k) \) is lies
on \( x+y=1 \) .... |
| 2024-01-21 | If the area of the quadrilateral \( A B C D \) whose vertices are \( A(1,1), B(7,-3), C(12,2) \).... |
| 2024-01-21 | Suppose \( A B C D \) is a quadrilateral such that the coordinates of \( A, B \) and \( C \) are.... |
| 2024-01-21 | In column I some series are given and in column II their \( n^{\text {th }} \) terms are given. .... |
| 2024-01-21 | Consider a triangle \( A B C \) with vertex \( A(2,-4) \). Then internal
bisectors of the angles.... |
| 2024-01-21 | A line makes intercepts on co-ordinate axes whose sum is 9 and their product is 20 ; then its eq.... |
| 2024-01-21 | The value(s) of \( t \) for which the lines \( 2 x+3 y=5, t^{2} x+ \) ty \( -6=0 \) and \( 3 x-2.... |
| 2024-01-21 | The vertices of triangle \( A B C \) are \( A(-1,-7), B(5,1) \) and \( C(1,4) \). The equation o.... |
| 2024-01-21 | The orthocenter of the triangle formed by the lines \( x \) \( -7 y+6=0,2 x-5 y-6=0 \) and \( 7 .... |
| 2024-01-21 | The area of triangle formed by the straight lines whose equations are \( y=4 x+2,2 y=x+3 \) and .... |
| 2024-01-21 | The complete set of real values of ' \( a \) ' such that the point \( P(a, \sin a) \) lies insid.... |
| 2024-01-21 | The combined equation of two adjacent sides of a rhombus formed in first quadrant is \( 7 x^{2}-.... |
| 2024-01-21 | The equation of image of pair of lines \( y=|x-1| \) with respect to \( y \)-axis is:.... |
| 2024-01-21 | If the distances of any point \( P \) from the points \( A(a+ \) \( b, a-b) \) and \( B(a-b, a+b.... |
0