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

Question

Responses

a7=−5
a subscript 7 baseline equals negative 5

a7=−4
a subscript 7 baseline equals negative 4

a7=−1
a subscript 7 baseline equals negative 1

a7=−9

Answer 1

To determine the 7th term of the sequence given by the first five terms \(19, 15, 11, 7, 3\), we first need to identify the pattern.

The sequence is decreasing by 4 each time:

• \(19 - 15 = 4\)
• \(15 - 11 = 4\)
• \(11 - 7 = 4\)
• \(7 - 3 = 4\)

Thus, it follows that each term can be described by the formula:

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

Let's find \(a_7\):

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

Therefore, the value of \( a_7 \) is:

\[ \text{a}_{7} = -5 \]

So the answer is:

a7 = −5.