Remedial MathematicsExample: summing a series
Sum the series 1, 2, …, n–1, n (where n ? 0).
Length of series = n
Average of first and last numbers = (n + 1)/2
Sum = n(n + 1)/2
Testing:
n = 4n(n + 1)/2 = 4?5/2 = 101 + 2 + 3 + 4 = 10
n = 3n(n + 1)/2 = 3?4/2 = 61 + 2 + 3 = 6
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