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(Lesson 29) Which is the correct formula for the sequence 5, 5.5, 6, 6.5,...? A) an 3D 5 (п — 1) (0.5) - в) ап 5 (0.5)"-1 аn — 5 + (п — 1) (0.5) - D an = 0.5 + (n – 1) (5)

(Lesson 29) Which is the correct formula for the sequence 5, 5.5, 6, 6.5,...? A) an 3D 5 (п — 1) (0.5) - в) ап 5 (0.5)"-1 аn — 5 + (п — 1) (0.5) - D an = 0.5 + (n – 1) (5)

Algebra and Trigonometry (6th Edition)
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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**Lesson 29: Sequence Analysis** **Question 6/26** Which is the correct formula for the sequence 5, 5.5, 6, 6.5,...? - **A** \( a_n = 5(n - 1)(0.5) \) - **B** \( a_n = 5(0.5)^{(n - 1)} \) - **C** \( a_n = 5 + (n - 1)(0.5) \) - **D** \( a_n = 0.5 + (n - 1)(5) \) Determine the formula that accurately represents the given sequence based on its pattern.
Transcribed Image Text:**Lesson 29: Sequence Analysis** **Question 6/26** Which is the correct formula for the sequence 5, 5.5, 6, 6.5,...? - **A** \( a_n = 5(n - 1)(0.5) \) - **B** \( a_n = 5(0.5)^{(n - 1)} \) - **C** \( a_n = 5 + (n - 1)(0.5) \) - **D** \( a_n = 0.5 + (n - 1)(5) \) Determine the formula that accurately represents the given sequence based on its pattern.
### Lesson 29: Sequence Formulas #### Question 6 Which is the correct formula for the sequence 5, 5.5, 6, 6.5,...? **Options:** A. \( a_n = 5(n-1)(0.5) \) B. \( a_n = 5(0.5)^{n-1} \) C. \( a_n = 5 + (n-1)(0.5) \) D. \( a_n = 0.5 + (n-1)(5) \) #### Solution To find the correct formula, observe the pattern in the sequence. The sequence starts at 5 and each term increases by 0.5. Therefore, the formula should reflect an arithmetic sequence with a common difference of 0.5. Examine each option to see which represents this pattern.
Transcribed Image Text:### Lesson 29: Sequence Formulas #### Question 6 Which is the correct formula for the sequence 5, 5.5, 6, 6.5,...? **Options:** A. \( a_n = 5(n-1)(0.5) \) B. \( a_n = 5(0.5)^{n-1} \) C. \( a_n = 5 + (n-1)(0.5) \) D. \( a_n = 0.5 + (n-1)(5) \) #### Solution To find the correct formula, observe the pattern in the sequence. The sequence starts at 5 and each term increases by 0.5. Therefore, the formula should reflect an arithmetic sequence with a common difference of 0.5. Examine each option to see which represents this pattern.
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