College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.2 - Arithmetic Sequences - 8.2 Exercises: 63

Answer

$S_{11}=46.75$

Work Step by Step

We are given: $\sum_{k=0}^{10}(3+0.25k)$ Since the values go up by 0.25 consistently, we see that this is an arithmetic sequence. We find the first and last terms of the sequence: $a_{0}=3+0.25*0=3$ $a_{10}=3+0.25*10=5.5$ Thus the partial sum is: $S_{11}= \frac{11}{2}(3+5.5)=46.75$
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