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!