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Algebra problem (37) |  |
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Problem
Calculate P(x) if P(x+1) - P(x) = xSolution
f(x) = x2.............f(x+1) - f(x) = x2 + 2x + 1 - (x2) = 2x + 1g(x) = x+1 ........g(x+1) - g(x) = x+2 - (x+1) = 1
Combine:
P(x) = (x2 - (x+1))/2
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Problem Calculate P(x) if P(x+1) - P(x) = xSolution f(x) = x2.............f(x+1) - f(x) = x2 + 2x + 1 - (x2) = 2x + 1g(x) = x+1 ........g(x+1) - g(x) = x+2 - (x+1) = 1 Combine: P(x) = (x2 - (x+1))/2
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