^{n}is 2

^{n}

(ii) the sum of odd binomial coefficients in the expansion of (1+x)

^{n}is equal to the sum of the coefficients of even terms and each is equal to 2

^{n-1}.

iii) In the expansion of (1+x)

^{n}the coefficients of terms equidistant from the beginning and the end are equal.

(iv) C

_{0}– C

_{1}+C

_{2}-C

_{3}+C

_{4}-…+(-1)

^{n}C

_{n}= 0

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