Math Problem Statement
100, 20 , 4 , _ , _ , _ ,
Solution
The sequence you provided appears to follow a pattern, but let's determine it step by step:
Given terms: 100, 20, 4, _ , _ , _
Looking at the first three terms:
- From 100 to 20, the number is divided by 5 (100 ÷ 5 = 20).
- From 20 to 4, the number is again divided by 5 (20 ÷ 5 = 4).
If the pattern continues by dividing by 5:
- The next term would be .
- Then, .
- Lastly, .
Thus, the next three terms in the sequence are: 0.8, 0.16, 0.032
Would you like more details on the solution or have any questions?
Here are 5 related questions:
- What is the general formula for this sequence?
- How do geometric sequences differ from arithmetic sequences?
- What are common methods for identifying patterns in number sequences?
- How can we apply division patterns in real-life scenarios?
- What are the properties of sequences involving constant division?
Tip: Sequences that involve constant multiplication or division are often called geometric sequences.
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Math Problem Analysis
Mathematical Concepts
Geometric Sequence
Division Pattern
Formulas
Next term in geometric sequence: a_n = a_(n-1) ÷ r, where r is the common ratio
Theorems
Geometric Sequence Theorem: A sequence where each term is found by multiplying the previous one by a constant factor
Suitable Grade Level
Grades 6-8