If |a|<1a n d|b|<1, then the sum of the...

If `|a|<1a n d|b|<1,` then the sum of the series `1+(1+a)b+(1+a+a^2)b^2+(1+a+a^2+a^3)b^3+...` is `1/((1-a)(1-b))` b. `1/((1-a)(1-a b))` c. `1/((1-b)(1-a b))` d. `1/((1-a)(1-b)(1-a b))`

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