m-1 * If Σ (8k + 5) = 4m² + m − 5, then which of the following is equal to the - k=1 simplification of m k=1 4m² + 9m 4m² - m 4m² + m 4m² 9m 4m² + 9m + 10 (8k + 5)? - 10

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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**Problem Statement:**

If 
\[
\sum_{k=1}^{m-1} (8k + 5) = 4m^2 + m - 5
\]
then which of the following is equal to the algebraic simplification of 
\[
\sum_{k=1}^{m} (8k + 5)?
\]

**Options:**

- ○ \(4m^2 + m\)
- ○ \(4m^2 - 9m\)
- ○ \(4m^2 + 9m + 10\)
- ○ \(4m^2 + 9m - 10\)
- ○ \(4m^2 - m\)
- ○ \(4m^2 + 9m\)

**Solution Highlight:**

The incorrect choice, indicated with a red cross, is:

- \(4m^2 + 9m\)
Transcribed Image Text:**Problem Statement:** If \[ \sum_{k=1}^{m-1} (8k + 5) = 4m^2 + m - 5 \] then which of the following is equal to the algebraic simplification of \[ \sum_{k=1}^{m} (8k + 5)? \] **Options:** - ○ \(4m^2 + m\) - ○ \(4m^2 - 9m\) - ○ \(4m^2 + 9m + 10\) - ○ \(4m^2 + 9m - 10\) - ○ \(4m^2 - m\) - ○ \(4m^2 + 9m\) **Solution Highlight:** The incorrect choice, indicated with a red cross, is: - \(4m^2 + 9m\)
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