The general term of the infinite series, beginning with k=0, representing the function x/(1 - x) would be.....

Question

possible solutions....

a. (x^k+1) / k!

b. x^k+1

c. (-1)^k+1 k^xk

d. (-1)^k x^2k+1

e. (-1)^k x^k

f. (-1)^k x^3k

g. (-1)^k x^3k+1

h. none of these

Answer 1

1/(1-x) is the sum of the geometric series
1+x+x^2+++++ x^n++++
so the general term would be x^(k+1) (b)