Question

What are the first 5 terms of the sequence defined by the equation?

yn=−5n−5
(1 point)
Responses

10, 15, 20, 25, 30
10, 15, 20, 25, 30

-10, -15, -20, -25, -30
-10, -15, -20, -25, -30

30, 25, 20, 15, 10
30, 25, 20, 15, 10

-30, -25, -20, -15, -10

Answer 1

To find the first 5 terms of the sequence defined by \( y_n = -5n - 5 \), we will evaluate the equation for \( n = 1, 2, 3, 4, 5 \).

1. For \( n = 1 \):
\[
y_1 = -5(1) - 5 = -5 - 5 = -10
\]

2. For \( n = 2 \):
\[
y_2 = -5(2) - 5 = -10 - 5 = -15
\]

3. For \( n = 3 \):
\[
y_3 = -5(3) - 5 = -15 - 5 = -20
\]

4. For \( n = 4 \):
\[
y_4 = -5(4) - 5 = -20 - 5 = -25
\]

5. For \( n = 5 \):
\[
y_5 = -5(5) - 5 = -25 - 5 = -30
\]

So, the first 5 terms of the sequence are:
\[
-10, -15, -20, -25, -30
\]

Thus, the correct response is:
**-10, -15, -20, -25, -30**