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21.01.2021 •
Mathematics
What is the difference b/w "Binomial Series" and "Binomial Theorem"? Also give formula for each.
Note: [ Explanation required according to GRADE 12 (college level) ] .
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Ответ:
Step-by-step explanation:
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
Ответ:
210 x 5 = 1050
525 x 2 = 1050