Math Problem Statement
The first term of a sequence is 12
The term-to-term rule is -3
What is the 5th term of this sequence?
Solution
This sequence follows a term-to-term rule of subtracting 3 from each term.
Given:
- The first term () is 12.
- The term-to-term rule is to subtract 3 from the previous term.
Now, calculate the next four terms:
Thus, the 5th term of the sequence is 0.
Would you like further details or clarification?
Here are 5 related questions to explore:
- What is the 10th term of this sequence?
- How many terms would it take for the sequence to reach a negative value?
- If the term-to-term rule was instead of , what would the 5th term be?
- How can this sequence be expressed as an arithmetic sequence formula?
- What is the sum of the first 5 terms in this sequence?
Tip: The difference between consecutive terms in a sequence is called the "common difference" in an arithmetic sequence.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Subtraction
Formulas
Arithmetic Sequence: T_n = T_1 + (n-1) * d
Theorems
Common Difference in Arithmetic Sequences
Suitable Grade Level
Grades 6-8
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