Which of the following infinite series has a finite sum? explain your reasoning.
a. 1.5+3+6+12+
b. 2+8+32+128+
c. 4+4.2+4.4+4.6+
d. 20+10+5+2.5+

d. 20+10+5+2.5+...

Step-by-step explanation:

No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.

Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50