35 terms

Emily_PrinzevalliTEACHER

Sequence

In Math, it is a list of numbers that has a predictable pattern.

arithmetic sequence

A sequence in which each term is found by adding a fixed amount to the previous term

Geometric sequence

a sequence in which each term is found by multiplying the previous term by the same number

recursive formula

uses the preceding term to define the next term of the sequence

explicit formula

a formula that allows you to directly compute any term for a sequence

Constant Difference

the same result when subtracting any term to its preceding term in an arithmetic sequence. It is represented by the variable "d" in the explicit formula.

Constant Ratio

the same result when dividing any term to its preceding term in a geometric sequence. It is represented by the variable "r" in the explicit formula.

Finite Geometric Series

the sum of the first "n" terms of a geometric sequence

Linear growth

growth by equal differences over equal intervals

exponential functions

a function of the form y = a*b^x, where both a and b are greater than 0 and b is not equal to 1.

Exponential Growth

a constant rate of growth applied to a continuously growing base over a period of time

Exponential decay

An original amount is reduced by a consistent rate over a period of time.

Growth factor

the factor by which a quantity multiplies itself over time

parameter

a characteristic or constant factor

Depreciation

Any decrease or loss in value caused by age, wear, or market conditions, an exponential decay situation

Appreciation

Any increase or gain in value caused by time or market conditions, an exponential growth situation

Simple Interest

Interest earned only on the original principal amount invested

compound interest

interest calculated on both the principal and the accrued interest, an exponential growth situation

interest rate

Percentage of amount borrowed to be added to the amount loaned and paid back.

compounding

Figuring out the future value of money you will invest

average rate of change

the change in the value of a quantity divided by the elapsed time

base

the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system.

constant rate

Exponential growth

decay factor

the base (1 - r) in an exponential expression

decay rate

the rate at which an exponential function is reduced

decreasing

Make something smaller (in size or quantity)

domain

The set of input values of a function.

growth rate

Make something smaller (in size or quantity)

increasing

Make something bigger (in size or quantity)

initial value

the value where something starts

parent function

the simplest function of a family of functions. For the family of quadratic functions, y = ax2 + bx + c, the simplest function. of this form is y = x2. The "Parent" Graph: The simplest parabola is y = x2, whose graph is shown at the right.

percent rate of change

a comparison between two values expressed in hundredths.

principal

The total amount of money borrowed (or invested), not including any interest or dividends.

range

The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. Range can also mean all the output values of a function.

y-intercept

Where a straight line crosses the Y axis of a graph.