What is the recursive formula for the sequence {−4,−1,2,5,…}?
a. f(1)=−4 and f(n+1)=−4+3
b. f(1)=−4 and f(n+1)=f(n)+3
c. f(1)=−4 and f(n)=f(n+1)+3
d. f(1)=0 and f(n+1)=f(n)−4

The first term is -4, so the recursive formula must start with

Then, as you can see, each term is 3 more than the previous one, so the recursive relation is

which literally means "the next term is the previous one plus three".

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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