Chapter 7.1

recursive formula

A formula that requires the computation of all previous terms to find the value of an.

negative exponent

A negative exponent means how many times to divide by the number.

monomial

A number, a variable, or a product of a number and one or more variables

exponential equation

. An exponential equation is one in which a variable occurs in the exponent, for example, . When both sides of the equation have the same base, the exponents on either side are equal by the property if , then .

rational exponent

A rational exponent represents both an integer exponent and an nth root. The root is found in the denominator (like a tree, the root is at the bottom), and the integer exponent is found in the numerator.

constant

A value that does not change

exponential growth

Function in the form y = ab x where a>0 and b>1

common ratio

In a geometric sequence, the constant ratio of any term and the previous term.

scientific notation

Scientific notation is a mathematical expression used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits.

cube root

The cube root of a number is a special value that, when used in a multiplication three times, gives that number.

nth root

The nth root of a number b is a number r which, when raised to the power of n, is equal to b.

zero exponent

The zero exponent rule basically says that any base with an exponent of zero is equal to one.

exponential decay

a decrease that follows an exponential function

exponential function

a function that can be described by an equation of the form y= a*b^x, where b > 0 and b ≠ 1

geometric sequence

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

compound interest

interest earned on both the principal amount and any interest already earned

order of magnitude

the order of magnitude of a quantity is the number rounded to the nearest power of 10