find the first five terms of the sequence a(n)=5n + 4

To find the first five terms of the sequence defined by the formula \( a(n) = 5n + 4 \), we need to evaluate the expression for \( n = 1, 2, 3, 4, \) and \( 5 \).

Let's calculate each term:

1. For \( n = 1 \):
   \[
   a(1) = 5 \times 1 + 4 = 5 + 4 = 9
   \]

2. For \( n = 2 \):
   \[
   a(2) = 5 \times 2 + 4 = 10 + 4 = 14
   \]

3. For \( n = 3 \):
   \[
   a(3) = 5 \times 3 + 4 = 15 + 4 = 19
   \]

4. For \( n = 4 \):
   \[
   a(4) = 5 \times 4 + 4 = 20 + 4 = 24
   \]

5. For \( n = 5 \):
   \[
   a(5) = 5 \times 5 + 4 = 25 + 4 = 29
   \]

Thus, the first five terms of the sequence are:

\[
9, 14, 19, 24, 29
\]

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

### Related Questions:
1. What is the 10th term of the sequence \(a(n) = 5n + 4\)?
2. How can we determine if a number is in the sequence \(a(n) = 5n + 4\)?
3. What is the sum of the first 20 terms of the sequence \(a(n) = 5n + 4\)?
4. How does the sequence change if the formula becomes \(a(n) = 5n - 4\)?
5. How can we express the \(n\)-th term formula if the sequence has a common difference of 7 instead of 5?

**Tip:** To find any term in an arithmetic sequence, use the formula \(a(n) = a_1 + (n-1)d\), where \(a_1\) is the first term and \(d\) is the common difference.

Learn how to find the first five terms of the arithmetic sequence defined by a(n) = 5n + 4. This sequence calculation involves basic arithmetic operations and demonstrates the arithmetic sequence formula. Suitable for students in Grades 7-9.

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