Answer:
The explicit formula for the geometric sequence is 
.
Step-by-step explanation:
By definition of geometric sequence, we should use the following expression:
, 
(1)
Where:
- First term.
- Geometric rate.
- Position of the element within the series.
If we know that 
and 
, then the explicit formula for the geometric sequence is:
The explicit formula for the geometric sequence is .
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
8/6, 12/9, 16/12 are all equivalent to 4/3
Answer:
4y-3
Step-by-step explanation:
