State whether the given sums are equal or unequal. 14 Σ' and Σκ-5 i=1 k=6 O Unequal O Equal Question Help: Message instructor Submit Question Jump to Answer
State whether the given sums are equal or unequal. 14 Σ' and Σκ-5 i=1 k=6 O Unequal O Equal Question Help: Message instructor Submit Question Jump to Answer
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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Question
![**Instructions:**
State whether the given sums are equal or unequal.
\[
\sum_{{i=1}}^9 i \quad \text{and} \quad \sum_{{k=6}}^{14} (k - 5)
\]
- [ ] Unequal
- [ ] Equal
**Question Help:**
- Message instructor
**Options:**
- **Submit Question**
- **Jump to Answer**
**Explanation:**
This exercise provides two summation expressions that need evaluation to determine if their results are equal or not.
1. **First Summation:**
\[
\sum_{{i=1}}^9 i
\]
This is the sum of all integers from 1 to 9.
2. **Second Summation:**
\[
\sum_{{k=6}}^{14} (k - 5)
\]
This involves summing the values of \(k - 5\) for integer values of \(k\) from 6 to 14. This effectively shifts the range so that you are summing integers from 1 to 9 as well.
To solve, calculate each expression and compare the results to decide if they are equal or unequal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b9a25ce-7950-429e-b571-3c0f034f6fd8%2Fe8ed3efa-2257-4b9b-a955-94bc3418a2ee%2F7wmio1_processed.png&w=3840&q=75)
Transcribed Image Text:**Instructions:**
State whether the given sums are equal or unequal.
\[
\sum_{{i=1}}^9 i \quad \text{and} \quad \sum_{{k=6}}^{14} (k - 5)
\]
- [ ] Unequal
- [ ] Equal
**Question Help:**
- Message instructor
**Options:**
- **Submit Question**
- **Jump to Answer**
**Explanation:**
This exercise provides two summation expressions that need evaluation to determine if their results are equal or not.
1. **First Summation:**
\[
\sum_{{i=1}}^9 i
\]
This is the sum of all integers from 1 to 9.
2. **Second Summation:**
\[
\sum_{{k=6}}^{14} (k - 5)
\]
This involves summing the values of \(k - 5\) for integer values of \(k\) from 6 to 14. This effectively shifts the range so that you are summing integers from 1 to 9 as well.
To solve, calculate each expression and compare the results to decide if they are equal or unequal.
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