CPM Homework Help : INT3 Problem 10-187

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10-187.

What is the sum of each series?

$11 + 12 + 13 + \ldots + 40$
Hint 1(a):
Find the sequence that describes the series.
Hint 2(a):
$t\left(n\right) = 10 + n$
Hint 3(a):
Find which term is $40$ .

$\left(40\right) = 10 + n$
$30 = n$
More Help (a):
Find the sum using the formula
$S(k)=\frac{k(t(1)+t(k))}{2}$
$S(30)=\frac{30(11+40)}{2}$

$90 + 84 + 78 + \ldots + 24$
Hint (b):
See part (a).

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