use mathematical induction to prove that each proposition is valid for all positive integral values of n:
1. 3+9+15+...+(6n-3)=3n^2
2. 5^n - 1 is divisible by 4
find each value:
1. P(9,6)
2. P(7,4)
3. C(8,2)
4. C(6,5)
Throw in a word problem...
Eight out of ten people surveyed prefer to observe Veteran's day on Nov. 11 rather than on the second Monday of Nov. Use the Binomial Theorem to determine the probability rhat each of the first three people surveyed prefer to observe Veterans Day on Nov. 11.
You don't have to answer all of them, any amount of knowledge on how to do them would be much appreciated. These are some questions for a math review packet and I don't think the teacher went over much of this in dept so I had to teach myself math analysis. Thanks in advance.
1. 3+9+15+...+(6n-3)=3n^2
2. 5^n - 1 is divisible by 4
find each value:
1. P(9,6)
2. P(7,4)
3. C(8,2)
4. C(6,5)
Throw in a word problem...
Eight out of ten people surveyed prefer to observe Veteran's day on Nov. 11 rather than on the second Monday of Nov. Use the Binomial Theorem to determine the probability rhat each of the first three people surveyed prefer to observe Veterans Day on Nov. 11.
You don't have to answer all of them, any amount of knowledge on how to do them would be much appreciated. These are some questions for a math review packet and I don't think the teacher went over much of this in dept so I had to teach myself math analysis. Thanks in advance.