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

Responses

a7=−1
a subscript 7 baseline equals negative 1

a7=−4
a subscript 7 baseline equals negative 4

a7=−5
a subscript 7 baseline equals negative 5

a7=−9

1 answer

To find the 7th term of the sequence 19, 15, 11, 7, 3, we can first identify the pattern. The sequence is decreasing by 4 each time:

  • a1 = 19
  • a2 = 15 (19 - 4)
  • a3 = 11 (15 - 4)
  • a4 = 7 (11 - 4)
  • a5 = 3 (7 - 4)

We can establish a formula for the nth term of the sequence. It can be expressed as:

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

To find \( a_7 \):

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