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

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

a7=−4
a subscript 7 baseline equals negative 4

a7=−1
a subscript 7 baseline equals negative 1

a7=−9
a subscript 7 baseline equals negative 9

a7=−5

1 answer

To determine the seventh term of the sequence given by the first five terms 19, 15, 11, 7, 3, we can observe the pattern in the sequence.

The sequence decreases by 4 between consecutive terms:

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

Continuing this pattern, we can find the subsequent terms:

  • The 6th term \(a_6\) is \(3 - 4 = -1\)
  • The 7th term \(a_7\) is \(-1 - 4 = -5\)

Therefore, \(a_7 = -5\).

The correct response is: a7=−5