100, 75, 50, 25, 0, -25 What is the next number? What is the 100th term?

100, 75, 50, 25, 0, -25 What is the next number? What is the 100th term?

Using point slope, we get (1, 100)(2, 75)

Our series function becomes
f(n) = -25n + 125

The next term is the 7th term:
f(7) = -25(7) + 125
f(7) = -175 + 125
f(7) = -50

The 100th term is found by n = 100:
f(100) = -25(100) + 125
f(100) = -2500 + 125
f(100) = -2375