Grade 12Algebra
(1+x)n=C0+C1x+....Cnwhere Cr=nCr & (C0 + C1)(C1 + C2)(Cn-1 + Cn) = AC1C2.....Cnwhen n=5Find A.
(1+x)n=C0+C1x+....Cn
where Cr=nCr & (C0 + C1)(C1 + C2)
(Cn-1 + Cn) = AC1C2.....Cn
when n=5
Find A.
1 Answer
Arun
Dear student
we know the formula:
nCr + nC(r-1) = (n+1)Cr
so, (C0 + C1)(C1 + C2).....(Cn-1 + Cn) = 6C1*6C2*...*6C5
now you can find A simply by calculating 6C1*6C2*...*6C5/5C1*5C2*...*5C5
Hope it helps
Regards
Arun (askIITians forum expert)
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