Answer:
a_11 = -45x + 56
Step-by-step explanation:
An arithmetic sequence has a constant difference which can be found by subtracting a term from the next term.
constant difference = d = -9x + 11 - (-5x + 6)
d = -9x + 11 + 5x - 6
d = -4x + 5
The nth term of an arithmetic sequence is
a_n = a_1 + (n - 1)d
a_11 = a_1 + (11 - 1)(-4x + 5)
a_11 = -5x + 6 + 10(-4x + 5)
a_11 = -5x + 6 - 40x + 50
a_11 = -45x + 56
