/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 29 Find each indicated sum. $$\su... [FREE SOLUTION] | 91影视

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Chapter 8: Problem 29

Find each indicated sum. $$\sum_{i=1}^{6} 5 i$$

Short Answer

Expert verified
The indicated sum is 105.

Step by step solution

01

Identify the range and function

First, identify the range of the sum; i goes from 1 to 6. The function is 5*i.
02

Evaluate the function for all i

Now, list the results that are obtained when you replace each i from 1 to 6 into the function \(5i = 5*1, 5*2, 5*3, 5*4, 5*5, 5*6\) which gives \(5, 10, 15, 20, 25, 30\).
03

Sum the terms

Next, fine the total value of the sum, \(\sum_{i=1}^{6} 5 i = 5 + 10 + 15 + 20 + 25 + 30 = 105\).

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