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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 12: Q. 12.18 (page 1170)

Expand the partial sum and find its value: $\sum_{i = 1}^{5} 4 i$

Short Answer

Expert verified

The value of the partial sum is 60.

Step by step solution

Step 1. Given information

$\begin{array}{l} Thepartialsumisgivenas \\ \sum_{i = 1}^{5} 4 i \\ Wehavetofindthevalueofthepartialsum. \end{array}$

Step 2. Expand the partial sum

$\begin{array}{l} Now, \\ Wesubstitutethevalues 1, 2, 3, 4, 5 inorder. \\ \Rightarrow \sum_{i = 1}^{5} 4 i = 4 \cdot 1 + 4 \cdot 2 + 4 \cdot 3 + 4 \cdot 4 + 4 \cdot 5 \\ = 4 + 8 + 12 + 16 + 20 \\ = 60 \end{array}$

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Expand the partial sum and find its value:∑i=154i

Short Answer

Step by step solution

Step 1. Given information

Step 2. Expand the partial sum

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Expand the partial sum and find its value: $\sum_{i = 1}^{5} 4 i$