Math Problem Statement

The term at position n in a sequence is n + 2. Work out the 5th term in this sequence (Hint: the 5th term is when n = 5).

Solution

The problem displayed in the image asks for the 5th term of a sequence, where the term at position nn is given by the formula:

n+2n + 2

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

5+2=75 + 2 = 7

Thus, the 5th term in the sequence is 7.

Would you like a more detailed explanation or have any questions?

Here are five related questions to explore further:

  1. What is the 10th term of the sequence n+2n + 2?
  2. How would the sequence change if the formula were n+3n + 3 instead?
  3. Can you write a general formula for the difference between consecutive terms in this sequence?
  4. What are the first three terms of the sequence?
  5. How would you graph the first five terms of this sequence?

Tip: When given a formula for a sequence, always substitute the specific value of nn directly into the formula to find the term at that position.

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Math Problem Analysis

Mathematical Concepts

Sequences
Linear Equations

Formulas

n + 2

Theorems

Arithmetic Sequences

Suitable Grade Level

Grades 6-8