Math Problem Statement
can you do 2
Solution
Looking at the pattern in the sequence:
The terms are: .
- To get from 74 to 70, we subtract .
- To get from 70 to 67, we subtract .
- To get from 67 to 65, we subtract .
- To get from 65 to 64, we subtract .
This suggests that each successive subtraction decreases by 1.
For question 2:
The first term is 74.
- To calculate the second term, subtract 4.
- To calculate each additional term, increase the amount added by 1 (which means subtract one less each time).
Do you want more details or have further questions? Here are some related topics:
- How do arithmetic sequences differ from geometric sequences?
- What is the general formula for an arithmetic sequence?
- Can you extend this pattern further? What would the next term be?
- How is the difference between consecutive terms related to the type of sequence?
- How can you identify whether a sequence is arithmetic or not?
Tip: In arithmetic sequences, the difference between consecutive terms is always constant, but sometimes the difference itself changes in a regular way, as shown here.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Patterns
Formulas
Next term = Previous term + Change
Theorems
Arithmetic Sequence Theorem
Suitable Grade Level
Grades 5-7
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