Given the first five terms of the sequence 19, 15, 11, 7, 3... use the subscript notation to describe a7a7 .(1 point) Responses a7=−4a7=−4A sub 7 is equal to negative 4 a7=−1a7=−1A sub 7 is equal to negative 1 a7=−5a7=−5A sub 7 is equal to negative 5 a7=−9

Answer 1

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

The sequence is decreasing by 4 each time:

• 19 - 4 = 15
• 15 - 4 = 11
• 11 - 4 = 7
• 7 - 4 = 3

This indicates that the \( n \)-th term of the sequence can be described by the equation:

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

Now we can simplify this equation:

\[ a_n = 19 - 4n + 4 = 23 - 4n \]

To find \( a_7 \):

\[ a_7 = 23 - 4(7) \] \[ a_7 = 23 - 28 \] \[ a_7 = -5 \]

Thus, \( a_7 = -5 \).

Therefore, the answer is:

a7 = -5.