Saturday

January 31, 2015

January 31, 2015

Posted by **mysterychicken** on Friday, June 7, 2013 at 3:11pm.

I got an = 8n - 2

Is that right?

2. The following statement is true by mathematical induction: (4/3)^n > n for all n > or equal to 6

True?

3. To find the 6th binomial coefficient of the expansion of (x + y)^15, find the value of 15C6

Not sure...

4. In how many ways can a 10-question, true-false exam be answered (assume that no questions are skipped)?

This really tricks me. I want to say 20 but I think there are more ways

5. In how many ways can 6 people sit in a 6-passenger car?

Again, not sure...36?

- Math -
**Steve**, Friday, June 7, 2013 at 6:09pm#1 looks ok

#2. sounds like you're guessing

To prove it, check when n=6

(4/3)^6 = 5.6

Bzzzt.

(However, it is true for n>6)

#3. That is correct.

The kth coefficient in (x+y)^n = C(n,k)

#4. You are correct in think that 20 is way too low.

There are 2 choices for every answer. So, there are 2^10=1024 ways to answer the questions.

#5. There are n! ways to arrange n things. So, there are 6! = 720 ways to seat 6 people in a line.

**Answer this Question**

**Related Questions**

Math - Geometry - Please help! Need to find the 6th and nth terms in this ...

Math Formula--General Term - Consider the sequence 12, 5, -2, -9 Determine the ...

Sequence - Find the common difference and a formula formula for the nth term of ...

math - help me with sequences problem.So if the sequence is 2,5,10,17,26 +3 +5 +...

precalc - Determine whether the sequence is geometric or arithmetic. Then give ...

PreCal - Write a formula for the general term(the nth term)of the arithmetic ...

MATHEMATICS - THE FIFTH TERM OF AN ARITHMETIC SEQUENCE IS 23 AND THE 12TH TERM ...

math - 1. Use the given arithmetic sequence to answer the following problems. ...

Math ( Can You check my Work?) - 1.an = 3n - 1 2. an = 2(2n - 3) 3.an = 4^n 4.an...

Calculus - Write a formuls for the general term(nth term) of the arithmetic ...