# Summation sequence

• Mar 18th 2010, 11:29 AM
mjoshua
Summation sequence
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• Mar 18th 2010, 11:37 AM
icemanfan
The summation of an arithmetic series is probably the best way to approach this problem.

So he makes 24 calls the first day, 29 the next, etc. for 20 days total.

How many calls does he make on the last day? 24 + 5(19) = 24 + 95 = 119

So by the formula, he made $\frac{20(24 + 119)}{2}$ total calls, which is 1430.