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