Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase. Conversely, it is decreasing if its output values fall as the input values increase.

Front

What is the rate of change of a function?

Back

The rate of change of a function measures how much the output value changes for a given change in the input value. It can be positive (increasing), negative (decreasing), or zero (constant).

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 if a sequence is arithmetic, check if the difference between consecutive terms is constant. For geometric, check if the ratio of consecutive terms is constant. If neither condition holds, the sequence is neither.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount added to each term to get the next term in an arithmetic sequence.

Front

What is the common ratio in a geometric sequence?

Back

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

Front

How do you find the nth term of an arithmetic sequence?

Back

Front

How do you find the nth term of a geometric sequence?

Back

Front

What is the significance of f(1) in a function?

Back

f(1) represents the output of the function f when the input is 1. It is a specific value that can help understand the behavior of the function.