Math Problem Statement
a sequence starts 1/2 , 1/4 , 1/8 give a rule that the sequence could follow , follow that rule to write 3 terms in the sequence
Solution
The sequence you provided is: .
This sequence can be described by the following rule: Each term is half of the previous term.
In mathematical terms, the -th term of the sequence can be expressed as:
Using this rule, let's find the next three terms:
- The 4th term:
- The 5th term:
- The 6th term:
So, the next three terms in the sequence are .
Would you like more details, or do you have any questions?
Here are 5 related questions:
- What is the 10th term in this sequence?
- Can this sequence be classified as a geometric sequence? Why or why not?
- How would you find the sum of the first terms of this sequence?
- What is the common ratio of this sequence?
- If the first term of a similar sequence is and follows the same rule, what would the first three terms be?
Tip: In geometric sequences, the common ratio is the factor you multiply by to get from one term to the next.
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Math Problem Analysis
Mathematical Concepts
Sequences
Geometric Sequences
Formulas
General term of a geometric sequence
Sum of a geometric series
Theorems
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Suitable Grade Level
High School
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