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:

T(n)=n2+3T(n) = n^2 + 3

To find the 5th term, substitute n=5n = 5 into the formula:

T(5)=52+3=25+3=28T(5) = 5^2 + 3 = 25 + 3 = 28

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:

  1. What are the first five terms of this sequence?
  2. How can you determine if this sequence is arithmetic or geometric?
  3. What is the general formula for an arithmetic sequence?
  4. How do quadratic sequences differ from linear ones?
  5. 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

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Suitable Grade Level

Grades 7-9