Millersville University Name Answer Key
Department of Mathematics
MATH 161, Calculus I , Quiz 08
November 17, 2006
Please answer the following questions. Your answers will be evaluated on their correctness,
completeness, and use of mathematical concepts we have covered. Please show all work and
write out your work neatly. Answers without supporting work will receive no credit.
1. Use summation rules to find the sum:
100
X
i=1
(i2−3i+ 2)
100
X
i=1
(i2−3i+ 2) =
100
X
i=1
i2−
100
X
i=1
(3i) +
100
X
i=1
2
=100(100 + 1)(2(100) + 1)
6−3
100
X
i=1
i+
100
X
i=1
2
= 338350 −3·100(100 + 1)
2+
100
X
i=1
2
= 338350 −15150 +
100
X
i=1
2
= 323200 + 2(100)
= 323400
