Math Problem Statement
An arithmetic sequence is represented by the function f(n) = 3 + 2n. What is the fifth term of the sequence?
Solution
The given arithmetic sequence is represented by the function:
We are asked to find the fifth term of the sequence, which corresponds to .
To calculate , we substitute into the formula:
Therefore, the fifth term of the sequence is 13 (Option B).
Would you like further details or have any questions?
Here are five related questions for further practice:
- What is the first term of the sequence?
- What is the common difference in this arithmetic sequence?
- How do you find the 10th term of this sequence?
- If the sequence continues, what is the 20th term?
- How can you generalize an arithmetic sequence?
Tip: In arithmetic sequences, the difference between consecutive terms is constant. This difference is called the common difference and plays a key role in the formula.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Algebra
Formulas
f(n) = a + (n-1) * d
f(n) = 3 + 2n
Theorems
Arithmetic sequence formula
Suitable Grade Level
Grades 6-8