1.

The sum of first n terms of the series 1 + (1 + x) y+ (1 + x + x^(2)) y^(2) + (1 + x + x^(2) + x^(3))y^(3) + ……….. is

Answer»

`(1/(1 - X))[(1-y^(N))/(1 - y) - y ((1 - x^(n)y^(n))/(1 - XY))]`
`(1/(1 - x))[(1-y^(n))/(1 - y^(2)) - x ((1 - x^(n)y^(n))/(1 - xy))]`
`(1/(1 - x))[(1-y^(n))/(1 - y) - x^(2) ((1 - x^(n)y^(n))/(1 - xy))]`
`(1/(1 - x))[(1-y^(n))/(1 - y) - 2x ((1 - x^(n)y^(n))/(1 - xy))]`

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