# High School Summer Program

## For students grades 9 - 12!

## Preparing youth for post-secondary education and careers

**SAT Preparation Course**

**$125 (includes textbook)**

**Tuesdays and Thursdays, June 10 - 26, Noon - 3 PM**

**Attention high school students! Do you want to take an inside look at the S.A.T. test? This course will acquaint you with the format of the test and help you devise tactics for taking the test.**

**For more information about the** **Highshcool Summer Programs click here!**

**Register for the Summer Program Here!**

**Answer to the practice problem from the Tri-County Sunday Courier ad:**

There are the following numbers: 3, 6, 11,18, ...

The first four terms of a sequence are shown above. Which of the following could be the formula that gives the *n*th term of this sequence for all positive integers *n*?

a) 2*n*

b) 2*n*+1

c) 3*n*

d) *n*^{2} + 1

e) *n*^{2} + 2

**Explanation:** Correct answer is **e)**. If a formula gives the *n*th term of the sequence for all positive integers *n*, it must give the nth term of the sequence for *n* = 1 comma 2 comma 3 comma and 4. If n = 1, then 2 times n = 2 and (n^2) + 1 = 2, but the first term of the sequence is 3, so the general formula cannot be 2 times n or (n^2) + 1. Also, if n = 3, then (2 times n) + 1 = 7 and 3 times n = 9, but the third term of the sequence is 11, so the general formula cannot be (2 times n) + 1 or 3n. However, for n = 1 comma 2 comma 3 comma and 4, the values of (n^2) + 2 are 3, 6, 11, 18, respectively. Therefore, the general formula for this sequence could be (n^2) + 2.

Practice problem courtesy of sat.collegeboard.org

Youth Camps and Registration Forms

**Mail or Fax to:**

**Penn State DuBois**

**CE Youth Programs**

**1 College Place, DuBois PA**

**Fax: (814) 375-4859**

Summer Youth Security Procedures