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 =