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# Algebra Scrapbook

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### Algebra Scrapbook - Page Text Content

S: MATH ALGEBRA 2

FC: Math Algebra 2 Scrapbook | By:Benny Ortiz

1: Table of Contents | 2. Exponent or power 3. Base 4. Multiplying exponents 5. Dividing exponents 6.Zero power 7. Negative exponents 8. Power to a power 9. Product to a power 10.Exponential function 11. Asymptote 12. Exponential growth 13. Exponential decay 14. Compound interest 15.Arithmetic sequence 16. Common difference 17.Geometric sequences 18.Common Ratio 19. Explicit rules versus recursive rules

2: Exponents: | Exponents are shorthand for repeated multiplication of the same thing by itself

3: Base | The number that is going to be raised to a power

4: Multiplying Exponents | When multiplying exponents you have to keep the base the same and add the exponents

5: Dividing Exponents | When dividing exponents you have to keep the base the same and subtract the exponents.

6: Zero Power | Zero to any power is 1

7: Negative Exponents | A negative exponent means how many times to divide by the number

8: Power to a Power

9: Product to a Power | When multiplying two powers that have the same base, you can add the exponents.

10: Exponential Function | In general the term exponential function describes functions of the form bx, where the base is "b" and the exponent is "x". See exponential growth for this usage.

11: Asymptote | a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity

12: Exponential Growth | Occurs when the growth rate of the value of a mathematical function is proportional to the function's current value.

13: Exponential Decay | Occurs in the same way when the growth rate is negative

14: Compound Interest | Arises when interest is added to the principal of a deposit or loan, so that, from that moment on, the interest that has been added also earns interest.

15: Arithmetic sequences | An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

16: Common difference | The constant added to each element of an arithmetic progression to obtain the next

17: Geometric Sequences | Is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

18: Common Ratio | The common ratio in a geometric sequence is the constant ratio between any term and the term after it.

19: Explicit Rules VS. Recursive Rules | Recursive: a1 = 3, an = 2 a(n - 1) Explicit: an = 3 2 ^ (n - 1)

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