Answer:
198 feet
Step-by-step explanation:
I think you would just divide 496 by 2.5 and then get the answer,
so basically 495/2.5=198 feet per piece of ribbon
Answer: 1-p
Step-by-step explanation:
Let's put this in numbers! If Henry had a 1/5 (p=1/5) chance of winning the raffle, then in order to find that chance he will not win is easy! We would do 1-1/5. So if we go back to the problem with the variable p, we can see tha the answer is 1-p.
Answer:
maybe 16
Step-by-step explanation:
am i missing something is there more to the equation??
if not then i think it would be 16 because a cube has 4 sides so 4*4 is 16

for

, but

is only decreasing for

, as you mentioned. This will not affect the behavior of the series. The sum starting from

converges, so its value must be finite. Including the term generated by

(which is finite, and zero besides, in this case) is the same as adding two finite numbers, which is yet another finite number. So the fact that the alternating series test only applies for a subset of the terms in the series doesn't matter.
For the second problem, the ratio test is an excellent choice. You have

which means the series converges.