Given the first five terms of the sequence 19, 15, 11, 7, 3 . . .

Question

, use subscript notation to describe a7
.(1 point)
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

The given sequence is 19, 15, 11, 7, 3. To find a7, we first identify the pattern in the sequence.

The sequence decreases by 4 each time:

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

So the nth term can be represented as:
\[ a_n = 19 - 4(n - 1) \]

Now, we can find \( a_7 \): \[ a_7 = 19 - 4(7 - 1) = 19 - 4 \times 6 = 19 - 24 = -5 \]

Thus, the value of \( a_7 \) is \( -5 \).

In subscript notation:
\( a_7 = -5 \)

So, the correct response is:
a7=−5