Use a graphing utility to determine the first term that is less than 0.0001 in each of the convergent series. Note that the answers are very different. (If necessary round your answers up to the next integer value. Explain how this will affect the rate at which the series converges. a. ∑_(n=1)^[infinity] 1/2^n b. ∑_(n=1)^[infinity] (0.01)^n

good luck!

cutie~

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles