We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:

We can set this equal to 0 and factor by using the quadratic formula which is:

So, let's do just that:

Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:


So, we can write this as:

Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!
<span>The probability that the selected college student will be a male student or a graduate student would be:
The probability of 271 out of 515.
</span><span>the probability that the selected college student will be a male student or a graduate student</span>
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by <span>33</span> gives the next term. In other words, <span><span><span>an</span>=<span>a1</span>⋅<span>r<span>n−1</span></span></span><span><span>an</span>=<span>a1</span>⋅<span>r<span>n-1</span></span></span></span><span>.</span>