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Here is a pattern where the number of small squares increases with each new step. Step 1 Step 2 Step 3. 1. Write a recursive definition for the total number of small squares S(n) in Step r 2. Sketch a graph of S that shows Steps 1 to 7.

Here is a pattern where the number of small squares increases with each new step. Step 1 Step 2 Step 3. 1. Write a recursive definition for the total number of small squares S(n) in Step r 2. Sketch a graph of S that shows Steps 1 to 7.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Understanding Patterns and Sequences** Here is a pattern where the number of small squares increases with each new step: - **Step 1:** Contains 1 square. - **Step 2:** Consists of 3 squares arranged in an L-shape. - **Step 3:** Consists of 6 squares, forming a larger L-shape. **Tasks:** 1. Write a recursive definition for the total number of small squares \( S(n) \) in Step \( n \). 2. Sketch a graph of \( S \) that shows Steps 1 to 7. --- **Lesson 6: Representing Sequences** 3. Determine if this sequence is geometric, arithmetic, or neither. Be prepared to explain how you know. **Note:** Refer to Lesson 6 Summary for additional insights.
Transcribed Image Text:**Understanding Patterns and Sequences** Here is a pattern where the number of small squares increases with each new step: - **Step 1:** Contains 1 square. - **Step 2:** Consists of 3 squares arranged in an L-shape. - **Step 3:** Consists of 6 squares, forming a larger L-shape. **Tasks:** 1. Write a recursive definition for the total number of small squares \( S(n) \) in Step \( n \). 2. Sketch a graph of \( S \) that shows Steps 1 to 7. --- **Lesson 6: Representing Sequences** 3. Determine if this sequence is geometric, arithmetic, or neither. Be prepared to explain how you know. **Note:** Refer to Lesson 6 Summary for additional insights.
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