exam Maths Puzzle Numerical Ability

Determine the sum for the geometric series 1/2 - 1/3 + 2/9 - 4/27 +...

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exam Other Question

Simplify:

{9/(x+1)}/{(1/3-6/(x+1)}

Thanks so much!! 5x2y6z4 - 15x4y5z3 + 20x3y5z2 please help me solve this.