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
Answer: 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.
F(x) = 2(2)^x-1<span>f(5)=32</span>
Answer:
your answer is C. 31%
percentage of yellow marbles =
× 100
× 100
Answer:
3
Step-by-step explanation:
The absolute value means spaces away from zero. -3 is 3 spaces away and 3 is also 3 spaces away. Hope this helps!
Divide both sides of the given equation by -3. This will give you |x-3| = 2.
Then either x-3=2, resulting in x= 5, or
-(x-3) = 2, or x-3 = -2, resulting in x=1
The solutions are {1,5}.