Integrated 1: Cumulative 1 Extra Practice

Front

What is a 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

How do you determine if a situation is linear or exponential?

Back

A situation is linear if it increases by a constant amount over equal intervals, while it is exponential if it increases by a constant percentage over equal intervals.

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a relationship to be discrete?

Back

A discrete relationship consists of distinct, separate values, often represented by whole numbers.

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

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms.

Front

What is an explicit formula?

Back

An explicit formula defines the terms of a sequence directly in terms of the term's position (n) in the sequence.

Front

How do you find the common ratio of a geometric sequence?

Back

To find the common ratio, divide any term by the previous term (r = a_n / a_(n-1)).

Front

What is the difference between linear and exponential growth?

Back

Linear growth adds a constant amount, while exponential growth multiplies by a constant factor, leading to faster increases over time.