The sum of the series \( 1^{3}+2^{3}+3^{3}+\ldots \ldots \ldots . . n^{3} \) is....
The sum of the series \( 1^{3}+2^{3}+3^{3}+\ldots \ldots \ldots . . n^{3} \) is
\( \mathrm{P} \)
(1) \( \left\{\frac{(n+1)}{2}\right\}^{2} \)
(2) \( \left\{\frac{n}{2}\right\}^{2} \)
(3) \( n\left(\frac{n+1}{2}\right) \)
(4) \( \left\{n \frac{(n+1)}{2}\right\}^{2} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-23 | \( 3+13+29+51+79+\ldots \ldots \) to \( n \) terms.... |
| 2024-01-23 | For any natural number, \( n, 7^{n}-2^{n} \) is divisible by.... |
| 2024-01-23 | If \( n \in \mathbb{N}, 7^{2 n}+2^{3 n-3} \cdot 3^{n-1}+n^{2}-3 n+2 \) is always
divisible by.... |
| 2024-01-23 | If \( A=\left(\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array.... |
| 2024-01-23 | The statement \( P(n)=9^{n}-8^{n} \), when divided by ' 8 '
always leaves the remainder \( (n \i.... |
| 2024-01-23 | If \( n \in \mathbb{N} \) then \( 10^{n}+3\left(4^{n+2}\right)+5 \) is divisible by.... |
| 2024-01-23 | Some trigonometric equations are given in Column-I and some or whole of their solutions are give.... |
| 2024-01-23 | For every positive integer \( n, 7^{n}-3^{n} \) is divisible by.... |
| 2024-01-23 | \( 10^{2 n-1}+1 \) is divisible by for all \( N \in N \).... |
| 2024-01-23 | If \( n \in \mathbb{N} \) then \( 1^{2}+3^{2}+5^{2}+\ldots \ldots \ldots+(2 n-1)^{2}= \)
\( \fra.... |
| 2024-01-23 | The sum of the series \( 1^{3}+2^{3}+3^{3}+\ldots \ldots \ldots . . n^{3} \) is.... |
| 2024-01-23 | If \( n \in \mathbb{N} \) then \( 2.7^{n}+3.5^{n}-5 \) is always divisible by
(1) 24
(2) 32
(3) .... |
| 2024-01-23 | Find the number of shots arranged in a complete
pyramid the base of which is an equilateral tria.... |
| 2024-01-23 | \( \left\{1-\left(\frac{1}{2}\right)\right\}\left\{1-\left(\frac{1}{3}\right)\right\}\left\{1-\l.... |
| 2024-01-23 | If \( n \) is a +ve integer \( 4^{n}-3 n-1 \) is divisible by.... |
| 2024-01-23 | \( 7^{2 n}+16 n-1 \) is divisible by \( (n \in N) \) :.... |
| 2024-01-23 | If \( n \in N, 121^{n}-25^{n}+1900^{n}-(-4)^{n} \) is divisible by
which one of the following?.... |
| 2024-01-23 | Using the principle of mathematical induction, find
the value of \( \frac{1}{1.2 .3}+\frac{1}{2..... |
| 2024-01-23 | If \( 10^{n}+3.4^{n+2}+k \) is divisible by 9 for all \( n \in N \),
then the least positive int.... |
| 2024-01-23 | For all \( n \in N, 3.5^{2 n+1}+2^{3 n+1} \) is divisible by.... |
| 2024-01-23 | For all \( n \in N \),
\( \left(1+\frac{3}{1}\right)\left(1+\frac{5}{4}\right)\left(1+\frac{7}{9.... |
0