Express the following sums using sigma notation. a. 5+6+7+8+9 b. 9+ 18 +27 +36+45+54 c. 1° + 2° +3° +4 1 1 1 1 d. +. 5. a. 5+6+7 + 8+9 = > | k = 1 6. b. 9+ 18+27 +36 + 45+ 54 = 2 k = 1 c. 1 +2° +3 + 4 = E k 1 k= 1
Express the following sums using sigma notation. a. 5+6+7+8+9 b. 9+ 18 +27 +36+45+54 c. 1° + 2° +3° +4 1 1 1 1 d. +. 5. a. 5+6+7 + 8+9 = > | k = 1 6. b. 9+ 18+27 +36 + 45+ 54 = 2 k = 1 c. 1 +2° +3 + 4 = E k 1 k= 1
Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Express the Following Sums Using Sigma Notation
#### Given Sums:
a. \( 5 + 6 + 7 + 8 + 9 \)
b. \( 9 + 18 + 27 + 36 + 45 + 54 \)
c. \( 1^3 + 2^3 + 3^3 + 4^3 \)
d. \( \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} \)
#### Using Sigma Notation:
a. \( 5 + 6 + 7 + 8 + 9 \) is expressed as:
\[ \sum_{k=1}^{5} \]
b. \( 9 + 18 + 27 + 36 + 45 + 54 \) is expressed as:
\[ \sum_{k=1}^{6} \]
c. \( 1^3 + 2^3 + 3^3 + 4^3 \) is expressed as:
\[ \sum_{k=1}^{4} \]
d. \( \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} \) is expressed as:
\[ \sum_{k=1}^{4} \]
In the images, each of the given sums is paired with its sigma notation representation. For example:
- \( 5 + 6 + 7 + 8 + 9 \) is translated to sigma notation where the upper limit is 5 and the expression inside the sigma symbol needs to be determined.
- Each sum provided (b, c, d) is similarly transformed into a sigma notation with corresponding limits and expressions to form the series. This notation is a concise way to represent the sums for more generalized mathematical manipulation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8954332-73e5-46cc-af00-8575ca015fa9%2F8bf76e99-7fef-416d-b221-8a9c590caec5%2Fhrzschk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Express the Following Sums Using Sigma Notation
#### Given Sums:
a. \( 5 + 6 + 7 + 8 + 9 \)
b. \( 9 + 18 + 27 + 36 + 45 + 54 \)
c. \( 1^3 + 2^3 + 3^3 + 4^3 \)
d. \( \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} \)
#### Using Sigma Notation:
a. \( 5 + 6 + 7 + 8 + 9 \) is expressed as:
\[ \sum_{k=1}^{5} \]
b. \( 9 + 18 + 27 + 36 + 45 + 54 \) is expressed as:
\[ \sum_{k=1}^{6} \]
c. \( 1^3 + 2^3 + 3^3 + 4^3 \) is expressed as:
\[ \sum_{k=1}^{4} \]
d. \( \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} \) is expressed as:
\[ \sum_{k=1}^{4} \]
In the images, each of the given sums is paired with its sigma notation representation. For example:
- \( 5 + 6 + 7 + 8 + 9 \) is translated to sigma notation where the upper limit is 5 and the expression inside the sigma symbol needs to be determined.
- Each sum provided (b, c, d) is similarly transformed into a sigma notation with corresponding limits and expressions to form the series. This notation is a concise way to represent the sums for more generalized mathematical manipulation.
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