To write the first five terms of the arithmetic sequence, we use the formula for the $n$-th term of an arithmetic sequence:

$a_n = a_1 + (n-1)d$

Where:

• $a_1$ is the first term,
• $d$ is the common difference,
• $n$ is the term number.

Given:

• $a_1 = 4$
• $d = 7$

Calculate the first five terms:

1. For $n = 1$: $a_1 = 4$

2. For $n = 2$: $a_2 = a_1 + (2-1)d = 4 + 7 = 11$

3. For $n = 3$: $a_3 = a_1 + (3-1)d = 4 + 2 \cdot 7 = 18$

4. For $n = 4$: $a_4 = a_1 + (4-1)d = 4 + 3 \cdot 7 = 25$

5. For $n = 5$: $a_5 = a_1 + (5-1)d = 4 + 4 \cdot 7 = 32$

First Five Terms:

$4, 11, 18, 25, 32$

Would you like further explanations or examples on arithmetic sequences?

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Related Questions:

1. How do you find the common difference of an arithmetic sequence from two terms?
2. What is the formula for the sum of the first $n$ terms of an arithmetic sequence?
3. How do arithmetic sequences differ from geometric sequences?
4. What are the applications of arithmetic sequences in real-world scenarios?
5. How can you determine if a given sequence is arithmetic?

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Tip: To check if a sequence is arithmetic, calculate the difference between consecutive terms. If it's constant, the sequence is arithmetic!