Write an explicit formula that represents the sequence defined by the following recursive formula: a₁ = 7 and an = an-1 + 1 Submit Answer Answer: an =
Write an explicit formula that represents the sequence defined by the following recursive formula: a₁ = 7 and an = an-1 + 1 Submit Answer Answer: an =
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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![### Sequence Formula Problem
**Problem Statement:**
Write an explicit formula that represents the sequence defined by the following recursive formula:
\[ a_1 = 7 \]
\[ a_n = a_{n-1} + 1 \]
**Solution Input Box:**
- There is an input box where the explicit formula for \( a_n \) can be entered.
- The input should represent the explicit formula for the sequence.
- Submit your answer by clicking the "Submit Answer" button.
**Example:**
To find the explicit formula, identify the pattern of the sequence given the base case \( a_1 = 7 \) and the recursive step \( a_n = a_{n-1} + 1 \).
Note: In this framework, ensure students understand the difference between general recursive definitions and explicit formulas through the interactive exercise given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb38cf4a4-eba9-437e-9652-04a5262ce165%2F3584fffe-93eb-45ca-93d0-4fcc07f167bf%2Firimtxp_processed.png&w=3840&q=75)
Transcribed Image Text:### Sequence Formula Problem
**Problem Statement:**
Write an explicit formula that represents the sequence defined by the following recursive formula:
\[ a_1 = 7 \]
\[ a_n = a_{n-1} + 1 \]
**Solution Input Box:**
- There is an input box where the explicit formula for \( a_n \) can be entered.
- The input should represent the explicit formula for the sequence.
- Submit your answer by clicking the "Submit Answer" button.
**Example:**
To find the explicit formula, identify the pattern of the sequence given the base case \( a_1 = 7 \) and the recursive step \( a_n = a_{n-1} + 1 \).
Note: In this framework, ensure students understand the difference between general recursive definitions and explicit formulas through the interactive exercise given.
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