Answer:
Step-by-step explanation:
The term of the sequence is given as
.
To find the sixth term, which is denoted by , we substitute n=6 into the given rule.
This will give us:
Simplify the exponent to get:
We simplify further to get:
This simplifies to
Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:
For the next unique toy, there is now a 3 in 5 chance of getting it:
Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:
Finally, there is a 1 in 5 chance to get the last unique toy:
The expected number of boxes to obtain a full set is: