Consider series: sigma (4^(n+1))/4n+1
(the sigma has n=1 on the bottom and infinity on the top)
What is the value of r from the ratio test, and does it diverge or converge

I got r=4, and it diverges

i cant answer this, theres no table. sorry man

step-by-step explanation:

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x