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.