exam Maths Puzzle Numerical Ability

Let w (omega) be a root of the equation x^2 + x + 1 = 0. Define a complex valued function f by f(n) = (w^2n)/(1 + w^n).

What is f(1)+ f(2) + f(3) + ... + f(20)?

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exam Other Question

solve the following system of equations using matrices
x-y+4z=6
2x+z=1
x+5y+z=-9

is it (0, 1, -2)??
Which label describes the following?

3x to the power of 2 + 5 = 12

Choices...

1) Linear equation
2)Equation which is not linear
3)Expression