2. a rithmetic Sequence: A sequence of numbers where the common difference occurs at level D 1 The first term, t 1, is referred to as a. The common difference is referred to as d. 1.To determine the common difference, d, subtract backwards. 2.To determine the equation or formula for a sequence of numbers, determine a and d, and substitute into the general formula, Given the terms of a sequence.

3. 3.To determine the equation or formula if given only two terms. Use t n and n to substitute into the general formula to create two linear equations. Solve the system of equations to determine a and d. Given two non-consecutive terms. 4.To determine the value of x if three algebraic terms are provided. Subtract backwards to find the two algebraic forms of D 1. Equate the two differences and then solve for x.

4. Using the TI Calculator. Linear Regression: The process of determining the line of best fit. Term # 12345 Number 13579 Using the calculator to determine the equation 1. First reset your calculator. Press 2 nd, +, Reset, All Ram, Enter, Reset, Enter. 2.Turn Diagnostics ON. This will determine the percentage of fit. Press 2 nd, 0, arrow down to Diagnostics ON, Enter, Enter.

5. 3. Press Stat, Enter. Enter term #’s in List 1. Arrow over to List 2 and enter Term Values. Using the TI Calculator. Linear Regression: The process of determining the line of best fit. Term # 12345 Number 13579

6. Using the TI Calculator. Linear Regression: The process of determining the line of best fit. Term # 12345 Number 13579 4. Press Stat. Arrow over to Calc. Scroll down to Lin Reg (ax+b). Hit ENTER. So, the equation of the sequence is 100% match

7. Q adratic Sequence : A sequence of numbers where the common difference occurs at level D 2 The power of the sequence is 2. 1.To determine the common difference, d, subtract backwards. 2.The general formula for the nth term of a Quadratic Sequence is Given the terms of a sequence. 3.To determine the equation or formula for a quadratic sequence, use the following formulas.

8. 3.What if n doesn’t increase by just 1 unit? e.g. Given non-consecutive terms. Term # 246810 Number 28224474 Let’s go back to the algebraic determination of the relationship between D 2 and “a”. SEQUENCE In this case, 12a+2b= 1 st term in D1 and 4a+2b+c= 1 st term in sequence.

9. Using the TI Calculator. Quadratic Regression: The process of determining the line of best fit. Term # 12345 Number 1361015 Using the calculator to determine the equation 1. First reset your calculator. Press 2 nd, +, Reset, All Ram, Enter, Reset, Enter. 2.Turn Diagnostics ON. This will determine the percentage of fit. Press 2 nd, 0, arrow down to Diagnostics ON, Enter, Enter.

10. 3. Press Stat, Enter. Enter term #’s in List 1. Arrow over to List 2 and enter Term Values. Using the TI Calculator. Linear Regression: The process of determining the line of best fit. Term # 12345 Number 1361015

11. Using the TI Calculator. Linear Regression: The process of determining the line of best fit. Term # 12345 Number 1361015 4. Press Stat. Arrow over to Calc. Scroll down to Quad Reg. Hit ENTER. So, the equation of the sequence is 100% match