Given the first five terms of the sequence 19, 15, 11, 7, 3 . . . , use subscript notation to describe a7 .(1 point)

Question

Responses

a7=−9
a subscript 7 baseline equals negative 9

a7=−1
a subscript 7 baseline equals negative 1

a7=−4
a subscript 7 baseline equals negative 4

a7=−5

Answer 1

To describe \( a_7 \) for the sequence given (19, 15, 11, 7, 3 ...), we first need to determine the pattern or rule of the sequence.

The sequence starts at 19 and decreases by 4 each time:

• \( a_1 = 19 \)
• \( a_2 = 15 \) (19 - 4)
• \( a_3 = 11 \) (15 - 4)
• \( a_4 = 7 \) (11 - 4)
• \( a_5 = 3 \) (7 - 4)

Thus, we see that the nth term of the sequence can be described using the formula:

\[ a_n = 19 - 4(n - 1) \]

Now, we can compute \( a_7 \):

\[ a_7 = 19 - 4(7 - 1) = 19 - 4(6) = 19 - 24 = -5 \]

Therefore, the answer is:

\[ a_7 = -5 \]

The correct response is:

a7=−5