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10-43.

What are the sums of the arithmetic series below?

$5 + 10 + 15 + 20 + … + 400$
Hint (a):
Find the sequence that describes the series.
Hint 2(a):
$t\left(n\right) = 5n$
Hint 3(a):
Find which term is $400$ .

$\left(400\right) = 5n$
$80 = n$
More Help (a):
Find the sum using the formula from the Math Notes box.
$S(80)=\frac{80(5+400)}{2}$
Answer (a):
$16200$

$3 + 8 + 13 + 18 + … + 398$
Hint (b):
See part (a).
Answer (b):
$16040$

$80 + 74 + 68 + 62 + … + 14$
Hint (c):
See part (a).

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