Math, asked by bandajonathan98514, 10 months ago

express (n+1)( n+2)n in factorial notation

sivaprasath: (n + 2)!/n!

sivaprasath: (n+2)!/(n-1)!,.

sivaprasath: is it the answer?

bandajonathan98514: goodtry!

Answers

Answered by shadowsabers03

Factorial notation...!

$\large \text{$\displaystyle n!\ =\ \prod_{k=1}^{n}k\ =\ 1 \cdot 2 \cdot 3\cdot 4\cdot......\cdot n$}$

Thus,

$\begin{aligned}&(n+1)(n+2)n\\ \\ \Longrightarrow\ \ &n(n+1)(n+2)\\ \\ \Longrightarrow\ \ &\frac{1\cdot 2\cdot 3\cdot...\ (n-1)\ n\ (n+1)(n+2)}{1\cdot 2\cdot 3\cdot...\ (n-1)}\\ \\ \Longrightarrow\ \ &\large \text{$\frac{(n+2)!}{(n-1)!}$}\end{aligned}$

Hence expressed!

$\dfrac{(n+2)!}{(n-1)!}=\dfrac{(n+2)!}{(n+2-3)!}=\displaystyle\ \Large \text{$^{n+2}\! P_{3}$}$

bandajonathan98514: whaoooo! your math is good!

sivaprasath: sanjeev bro, why are you still in brainly stars group?

shadowsabers03: Thank you @Bandajonathan98514

@sivaprasath, you mean I have to leave it?

bandajonathan98514: you wanna know why i became part of this fam?

sivaprasath: no, but I feel it is very un-intresting (boring) there & weekly targets causes head ache,. That's it,.

Answered by hoyetonjacob

Answer:

Step-by-step explanation:

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