Math Problem Statement
Solution
The sequence provided is: .
The numbers in this sequence are doubling each time:
This indicates that the recursive formula involves multiplying the previous term by 2.
The recursive formula for this sequence is: This corresponds to the yellow box in the image.
Do you want further details or have any questions?
Here are 5 related questions:
- What is the next term in the sequence after 24?
- How would you describe the general formula for this sequence without recursion?
- Can you create a recursive formula for a sequence where the terms triple each time?
- What is the difference between recursive and explicit formulas?
- How would the sequence change if you multiplied by 3 instead of 2?
Tip: Recursive formulas express each term based on the previous one, making them powerful for sequences that follow a clear pattern.
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Math Problem Analysis
Mathematical Concepts
Sequences
Recursion
Geometric Progression
Formulas
Recursive formula: a_1 = 3; a_n = 2a_{n-1} for n ≥ 2
Theorems
Geometric sequence formula
Suitable Grade Level
Grades 8-10
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