- #1
Saitama
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Converting Sigma notation...
(Not a homework question)
Hi!
I have been encountering problems in Binomial Theorem which includes converting the sigma notation.
Like [tex]\sum_{k=0}^n \frac{n!}{(n-k)!k!} a^kb^{n-k}=(a+b)^n[/tex]
I got many questions in my exam of this type with four options.
One of them was:-
[tex]\sum_{k=1}^{n} {}^nC_k.3^k[/tex]
I substituted the value of n and was able to figure out the correct option.
But as i said there were many questions, so it took a lot of time.
Is there any easier way to do that?
Homework Statement
(Not a homework question)
Hi!
I have been encountering problems in Binomial Theorem which includes converting the sigma notation.
Like [tex]\sum_{k=0}^n \frac{n!}{(n-k)!k!} a^kb^{n-k}=(a+b)^n[/tex]
I got many questions in my exam of this type with four options.
One of them was:-
[tex]\sum_{k=1}^{n} {}^nC_k.3^k[/tex]
I substituted the value of n and was able to figure out the correct option.
But as i said there were many questions, so it took a lot of time.
Is there any easier way to do that?
Homework Equations
The Attempt at a Solution
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