Math Problem Statement
The nth term rule for a sequence is T(n) = n^2 + 3. Work out the 5th term of this sequence.
Solution
We are given the sequence rule:
To find the 5th term, substitute into the formula:
Thus, the 5th term of the sequence is 28.
Would you like more details or have any questions?
Here are some related questions you might consider:
- What are the first five terms of this sequence?
- How can you determine if this sequence is arithmetic or geometric?
- What is the general formula for an arithmetic sequence?
- How do quadratic sequences differ from linear ones?
- Can this sequence be represented graphically?
Tip: Always substitute values carefully and simplify step by step to avoid calculation errors.
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Math Problem Analysis
Mathematical Concepts
Sequences
Quadratic Functions
Formulas
T(n) = n^2 + 3
Theorems
-
Suitable Grade Level
Grades 7-9