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Simplifying f(k) = f(k + -1) + 2 Multiply f * k fk = f(k + -1) + 2 Reorder the terms: fk = f(-1 + k) + 2 fk = (-1 * f + k * f) + 2 fk = (-1f + fk) + 2 Reorder the terms: fk = 2 + -1f + fk Add '-1fk' to each side of the equation. fk + -1fk = 2 + -1f + fk + -1fk Combine like terms: fk + -1fk = 0 0 = 2 + -1f + fk + -1fk Combine like terms: fk + -1fk = 0 0 = 2 + -1f + 0 0 = 2 + -1f Solving 0 = 2 + -1f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'f' to each side of the equation. 0 + f = 2 + -1f + f Remove the zero: f = 2 + -1f + f Combine like terms: -1f + f = 0 f = 2 + 0 f = 2 Simplifying f = 2
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