Grade 11Algebra
Show that the sum of the coefficients of the odd terms in the expansion of (1+x)2n is 22n-1.
Show that the sum of the coefficients of the odd terms in the expansion of (1+x)2n is 22n-1.
1 Answer
Arun
Dear student
As we know
in (1+x )^n
c0 + c1 +c2 + c3 +c4+ c5+c6 +........ = 2^n
and
c1 + c3 + c5 + c7 + …... = 2^n-1
similarly
in (1+x)^2n
c1 + c3 + c5 + …... = 2^(2n -1)
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