Write the first five terms of the arithmetic sequence with the first​ term, 

a 1a1equals=1919​, 

and common​ difference, 

dequals=negative 3−3.

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Part 1

The first term is 

enter your response here. 

​(Type an integer or a simplified​ fraction.)

Part 2

The second term is 

enter your response here. 

​(Type an integer or a simplified​ fraction.)

Part 3

The third term is 

enter your response here. 

​(Type an integer or a simplified​ fraction.)

Part 4

The fourth term is 

enter your response here. 

​(Type an integer or a simplified​ fraction.)

Part 5

The fifth term is 

enter your response here. 

​(Type an integer or a simplified​ fraction.)

The given arithmetic sequence has the first term \( a_1 = 19 \) and the common difference \( d = -3 \).

The general formula for the \( n \)-th term of an arithmetic sequence is:

\[
a_n = a_1 + (n-1) \cdot d
\]

### Part 1: First term
The first term \( a_1 \) is already given:

\[
a_1 = 19
\]

### Part 2: Second term
To find the second term \( a_2 \):

\[
a_2 = a_1 + (2-1) \cdot (-3) = 19 + (-3) = 16
\]

### Part 3: Third term
To find the third term \( a_3 \):

\[
a_3 = a_1 + (3-1) \cdot (-3) = 19 + 2(-3) = 19 - 6 = 13
\]

### Part 4: Fourth term
To find the fourth term \( a_4 \):

\[
a_4 = a_1 + (4-1) \cdot (-3) = 19 + 3(-3) = 19 - 9 = 10
\]

### Part 5: Fifth term
To find the fifth term \( a_5 \):

\[
a_5 = a_1 + (5-1) \cdot (-3) = 19 + 4(-3) = 19 - 12 = 7
\]

### Conclusion:
- The first term is \( 19 \)
- The second term is \( 16 \)
- The third term is \( 13 \)
- The fourth term is \( 10 \)
- The fifth term is \( 7 \)

Would you like to see more details on how arithmetic sequences work, or have any questions?

### Related Questions:
1. What is the formula for the sum of an arithmetic sequence?
2. How would you find the 10th term of this sequence?
3. How do you determine if a sequence is arithmetic or geometric?
4. What happens to the terms of an arithmetic sequence when the common difference is positive?
5. Can an arithmetic sequence have fractions as its terms?

### Tip: 
Always use the general formula \( a_n = a_1 + (n-1) \cdot d \) to quickly find any term in an arithmetic sequence!

Write the first five terms of the arithmetic sequence with the first term, a₁ = 19, and common difference, d = -3.

Learn how to find the first five terms of an arithmetic sequence where the first term is 19 and the common difference is -3. Follow the arithmetic sequence formula step-by-step to compute terms for students in Grades 6-8.

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