To evaluate the sequence in recursive form, we can use the given recursive formula:
f(n) = -5 x f(n-1)
We are also given the initial value:
f(1) = -3
Using these, we can find the first few terms of the sequence:
f(1) = -3
f(2) = -5 x f(1) = -5 x (-3) = 15
f(3) = -5 x f(2) = -5 x 15 = -75
f(4) = -5 x f(3) = -5 x (-75) = 375
f(5) = -5 x f(4) = -5 x 375 = -1875
So the first few terms of the sequence are: -3, 15, -75, 375, -1875, ...
Note that this sequence is decreasing in magnitude and alternating in sign, since each term is multiplied by -5.