The greatest positive integer which divides
\( (n+1)(n+2)(n+3) \ldots .(n+r), \forall n \in \mat....
The greatest positive integer which divides
\( \mathrm{P} \)
\( (n+1)(n+2)(n+3) \ldots .(n+r), \forall n \in \mathbb{N} \), is
W.
(1) \( (n+r) \) !
(2) \( n+r+1 \)
(3) \( n \) !
(4) \( r ! \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-23 | If \( \alpha, \beta \) be the roots \( x^{2}+p x-q=0 \) and \( \gamma, \delta \) be the
roots of.... |
| 2024-01-23 | If \( x \) is real, then the value of the expression
\( \frac{x^{2}+14 x+9}{x^{2}+2 x+3} \) lies.... |
| 2024-01-23 | If \( c \neq 0 \) and the equation \( \frac{p}{2 x}=\frac{a}{x+c}+\frac{b}{x-c} \) has two
equal.... |
| 2024-01-23 | If \( \alpha \) and \( \beta \) are the roots of the equation \( a x^{2}+b x+c \) \( =0 \), then.... |
| 2024-01-23 | The greatest positive integer which divides
\( (n+5)(n+6)(n+7)(n+8)(n+9) \) for all \( n \in \ma.... |
| 2024-01-23 | The remainder when \( 5^{99} \) is divided by 13 is.... |
| 2024-01-23 | The greatest positive integer, which divides
\( (n+16)(n+17)(n+18)(n+19) \) for all \( n \in \ma.... |
| 2024-01-23 | If \( 10^{n}+3.4^{n+2}+\lambda \) is exactly divisible by ' 9 ' for all
\( n \in \mathbb{N} \), .... |
| 2024-01-23 | The greatest integer by which the difference between
an positive integer and its cube is divisib.... |
| 2024-01-23 | \( P(n): 49^{n}+24^{n-1} \) is divisible by \( n \in \mathbb{N} \).... |
| 2024-01-23 | The greatest positive integer which divides
\( (n+1)(n+2)(n+3) \ldots .(n+r), \forall n \in \mat.... |
| 2024-01-23 | The sum of the cubes of the three consecutive natural
numbers is divisible by.... |
| 2024-01-23 | Match the items in Column-I with those in ColumnII.
\begin{tabular}{|l|l|l|l|}
\hline \multicolu.... |
| 2024-01-23 | For \( n \in \mathbb{N} 41^{n}-14^{n} \) is divisible by.... |
| 2024-01-23 | For \( n \in \mathbb{N}, 7^{4^{n}}-1 \) is divisible.... |
| 2024-01-23 | The sum of first ' \( n \) ' terms of the series
\( 1^{2}+2.2^{2}+2.3^{2}+2.4^{2}+\ldots \ldots .... |
| 2024-01-23 | For \( n \in \mathbb{N} 3^{n+2}-8 n-9 \) is divisible by.... |
| 2024-01-23 | For all \( n \in \mathbb{N} \frac{n^{5}}{5}+\frac{n^{3}}{3}+\frac{7}{15 n} \) is.... |
| 2024-01-23 | For all \( n \in \mathbb{N} 2.4^{2 n+1}+3^{3 n+1} \) is divisible by.... |
| 2024-01-23 | If ' \( p \) ' is a prime number, then \( n^{p}-n \) is divisible by ' \( p \) '
when ' \( n \) .... |
| 2024-01-23 | For every integer \( n \geq 1,\left(3^{2^{n}}-1\right) \) is divisible by.... |
0