Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Question 16 - Sequence Problem**
The function \( g \) is defined by
\[ g(x) = \sum_{i=3}^{5} \left( \frac{x}{i} + i \right). \]
Which of the following is the value of \( g(60) \)?
1. 47
2. 50
3. 54
4. 59
(O) 1
(O) 2
(O) 3
(O) 4
To solve for \( g(60) \), substitute \( x = 60 \) into the given function:
\[ g(60) = \sum_{i=3}^{5} \left( \frac{60}{i} + i \right). \]
Breakdown the summation as follows:
For \( i = 3 \):
\[ \frac{60}{3} + 3 = 20 + 3 = 23 \]
For \( i = 4 \):
\[ \frac{60}{4} + 4 = 15 + 4 = 19 \]
For \( i = 5 \):
\[ \frac{60}{5} + 5 = 12 + 5 = 17 \]
Finally, sum the values together:
\[ 23 + 19 + 17 = 59. \]
Therefore, \( g(60) = 59 \).
The correct answer is (4) 59.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1adaf557-0ebb-4539-a740-89b2306a05ed%2F53cfe96f-1830-409a-be84-f98111150874%2Ft3raxr9.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 16 - Sequence Problem**
The function \( g \) is defined by
\[ g(x) = \sum_{i=3}^{5} \left( \frac{x}{i} + i \right). \]
Which of the following is the value of \( g(60) \)?
1. 47
2. 50
3. 54
4. 59
(O) 1
(O) 2
(O) 3
(O) 4
To solve for \( g(60) \), substitute \( x = 60 \) into the given function:
\[ g(60) = \sum_{i=3}^{5} \left( \frac{60}{i} + i \right). \]
Breakdown the summation as follows:
For \( i = 3 \):
\[ \frac{60}{3} + 3 = 20 + 3 = 23 \]
For \( i = 4 \):
\[ \frac{60}{4} + 4 = 15 + 4 = 19 \]
For \( i = 5 \):
\[ \frac{60}{5} + 5 = 12 + 5 = 17 \]
Finally, sum the values together:
\[ 23 + 19 + 17 = 59. \]
Therefore, \( g(60) = 59 \).
The correct answer is (4) 59.
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