Math Problem Statement

The nth term of a sequence is given by T(n) = 6n + 9. Work out the 5th term of this sequence.

Solution

The expression for the nth term of the sequence is given by:

T(n)=6n+9T(n) = 6n + 9

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

T(5)=6(5)+9=30+9=39T(5) = 6(5) + 9 = 30 + 9 = 39

Therefore, the 5th term of the sequence is 3939.

Would you like further explanations or additional help with similar problems?

Here are 5 related questions:

  1. How do you find the nth term of an arithmetic sequence?
  2. What is the general form of an arithmetic sequence?
  3. How do you calculate the sum of the first n terms in an arithmetic sequence?
  4. What is the difference between an arithmetic and a geometric sequence?
  5. How can you determine the common difference in an arithmetic sequence?

Tip: Always substitute the correct value of nn into the formula to find the term in a sequence.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Linear Equations

Formulas

T(n) = 6n + 9

Theorems

Arithmetic sequence formula

Suitable Grade Level

Grades 6-8