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 formula for the sequence is n+2n + 2, where nn represents the position in the sequence.

To find the 5th5^\text{th} term, substitute n=5n = 5 into the formula:

n+2=5+2=7n + 2 = 5 + 2 = 7

The 5th5^\text{th} term in the sequence is 7.

Do you want further clarification or have any related questions?

Related Questions

  1. What is the formula used to determine the nthn^\text{th} term of a sequence?
  2. How can sequences be used in solving real-world problems?
  3. What happens if the sequence formula includes multiplication or powers instead of addition?
  4. Can you explain how to find the sum of the first few terms of this sequence?
  5. What is the 10th10^\text{th} term in this sequence?

Tip:

When working with sequences, always ensure you correctly substitute the given position (nn) into the formula to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Sequences
Arithmetic Progression

Formulas

n + 2

Theorems

Basic Arithmetic Operations

Suitable Grade Level

Grade 5-6