Math Problem Statement
The first term in a sequence is 12
The term-to-term rule is + 4
What is the 5th term?
Solution
The first term of the sequence is , and each term is obtained by adding 4 to the previous term.
We can calculate the first few terms as follows:
- 1st term:
- 2nd term:
- 3rd term:
- 4th term:
- 5th term:
Thus, the 5th term is .
Would you like more details or have any questions?
Here are 5 related questions to expand on this:
- What would be the 10th term in the sequence?
- How can you express the -th term of this sequence algebraically?
- What type of sequence is this, and what is its common difference?
- Can you determine the sum of the first 5 terms of this sequence?
- How would the sequence change if the term-to-term rule was instead of ?
Tip: Sequences like this are called arithmetic sequences because they have a constant difference between consecutive terms.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Addition
Formulas
n-th term of an arithmetic sequence: a_n = a_1 + (n-1) * d
Theorems
Arithmetic Sequence Formula
Suitable Grade Level
Grades 6-8
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