Use the formula to evaluate the infinite series. round your answer to the nearest hundredth if necessary. 72 + 12 + 2 + . . formula for a converging infinite series. a1 is the first term and r is the common ratio. 86.4 14.4 6 432

The first term is a = 72

The common ratio is r = 1/6.
We multiply each term by 1/6, which is the same as dividing each term by 6.
To find r, divide any term you want over the previous term
r = 12/72 = 1/6
r = 2/12 = 1/6
etc.

Now use the infinite sum formula to find S
S = infinite sum
S = a/(1-r) ... see note below
S = 72/(1-1/6)
S = 72/(6/6 - 1/6)
S = 72/(5/6)
S = (72/1) divided by (5/6)
S = (72/1)*(6/5)
S = (72*6)/(1*5)
S = 432/5
S = 86.4

86.4

note: this infinite sum formula only works if -1 < r < 1. In the case of r = 1/6 = 0.167 (approx), this r value is between -1 and 1. 

Hey there!!

Let's take 'h' as the number of hours.

The volume already present is "22" gallons.

Hence, this would become the y-intercept.

... ( 0 , 22 )

... The slope would be 26

Hence, y would be 516 and m would be 26 and x would be h.

Slope-intercept form :-

y = mx + b

( m is the slope and b is the y-intercept )

... 516 = 26h + 22

... 516 - 22 = 26h

... 494 = 26h

... h = 494 / 26

... h = 19

Hence, the number of hours would be 19.

Hope my answer helps!