Math Problem Statement
Find the next three terms 32, 16, 8, 4, 2
Solution
The given sequence is: 32, 16, 8, 4, 2.
To find the next three terms, observe the pattern. Each term is half of the previous one, meaning the sequence follows a constant ratio of 1/2.
Thus, continuing the sequence:
- Next term:
- Term after that:
- Third term:
So, the next three terms are: 1, 0.5, 0.25.
Would you like more details, or do you have any questions?
Here are some related questions:
- What is the general term (nth term) for this sequence?
- Can this sequence be classified as geometric or arithmetic?
- How do geometric sequences differ from arithmetic ones?
- What would happen if the ratio was negative instead of positive?
- How do you sum an infinite geometric series?
Tip: The sum of an infinite geometric series can be found if the common ratio is between -1 and 1.
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Math Problem Analysis
Mathematical Concepts
Sequences
Geometric Progression
Formulas
Next term in a geometric sequence: a * r
General term: a_n = a * r^(n-1)
Theorems
Geometric Sequence Theorem
Suitable Grade Level
Grades 6-8