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=−1
a subscript 7 baseline equals negative 1

a7=−4
a subscript 7 baseline equals negative 4

a7=−9

Answer 1

To find \( a_7 \) in the given sequence \( 19, 15, 11, 7, 3 \), we first identify the pattern in the sequence.

The sequence decreases by 4 each time:

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

We can express this mathematically. The general term for the sequence can be described by the formula: \[ a_n = 19 - 4(n - 1) \] where \( n \) is the term number.

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

Thus, the correct answer is: \[ a_7 = -5 \]