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If (1+x)^(n)=sum(r=0)^(n)a(r)x^(r) and b...

If `(1+x)^(n)=sum_(r=0)^(n)a_(r)x^(r) and b_(r)=1+(a_(r))/(a_(r-1)), and prod_(r=1)^(n)b_(r)=((101)^(100))/(100!)` then n equals:

A

99

B

100

C

101

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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  14. Let n be an odd integer. If sin n theta=sum(r=0)^(n)b(r) sin^(r)theta ...

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