Classify the sequence and find the next term, 1,2,4,8,. The sequence is Blank 1 (arithmetic, geometric, Fibonacci-type, non of these). The next term is Blank 2. Blank 1 Blank 2 Add your answer Add your answer
Classify the sequence and find the next term, 1,2,4,8,. The sequence is Blank 1 (arithmetic, geometric, Fibonacci-type, non of these). The next term is Blank 2. Blank 1 Blank 2 Add your answer Add your answer
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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Question
![Title: Understanding Sequences
---
**Classify the sequence and find the next term:**
1, 2, 4, 8, ………….
The sequence is **Blank 1** (arithmetic, geometric, Fibonacci-type, non of these).
The next term is **Blank 2**.
---
- **Blank 1:** [Add your answer]
- **Blank 2:** [Add your answer]
### Explanation:
To classify this sequence, observe the pattern between the numbers. In this sequence, each term after the first is obtained by multiplying the previous term by a constant factor. This pattern indicates a geometric sequence.
#### Next Term Calculation:
If each term is multiplied by a specific factor to get the next, identify this factor to calculate the forthcoming term in this progression. In this sequence, the factor is 2 (since 2/1 = 4/2 = 8/4 = 2).
Thus, multiply 8 by 2 to find the next term.
Explore these fundamentals to solve similar problems effectively!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10c6527d-29e3-4038-8af3-a11cd913e02d%2Ff464e101-f66f-45da-9143-3952ed5b7c87%2Fzrt7hs6u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Understanding Sequences
---
**Classify the sequence and find the next term:**
1, 2, 4, 8, ………….
The sequence is **Blank 1** (arithmetic, geometric, Fibonacci-type, non of these).
The next term is **Blank 2**.
---
- **Blank 1:** [Add your answer]
- **Blank 2:** [Add your answer]
### Explanation:
To classify this sequence, observe the pattern between the numbers. In this sequence, each term after the first is obtained by multiplying the previous term by a constant factor. This pattern indicates a geometric sequence.
#### Next Term Calculation:
If each term is multiplied by a specific factor to get the next, identify this factor to calculate the forthcoming term in this progression. In this sequence, the factor is 2 (since 2/1 = 4/2 = 8/4 = 2).
Thus, multiply 8 by 2 to find the next term.
Explore these fundamentals to solve similar problems effectively!
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