Milestone Review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you determine if a sequence is arithmetic, geometric, or neither?

Back

To determine the type of sequence, check if the difference between consecutive terms is constant (arithmetic) or if the ratio of consecutive terms is constant (geometric). If neither condition is met, the sequence is neither.

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is f(x) = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the time.

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is f(x) = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is the time.

Front

What does it mean for a value to appreciate?

Back

To appreciate means that the value of an asset increases over time.

Front

What does it mean for a value to depreciate?

Back

To depreciate means that the value of an asset decreases over time.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term.

Front

If a sequence is defined by the formula a_n = 4^n, what type of sequence is it?

Back

It is a geometric sequence with a common ratio of 4.

Front

What is the next term in the geometric sequence 2, 6, 18, ...?

Back

The next term is 54, as each term is multiplied by 3.