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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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!
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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