IM1 Exam (Practice) - Fall 2024

Front

What is an arithmetic sequence?

Back

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

Front

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

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + d(n - 1), where a_1 is the first term, d is the common difference, and n is the term number.

Front

What is the common difference in the arithmetic sequence: -8, 6, 14, 22...?

Back

The common difference is 14.

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 find the common ratio in a geometric sequence?

Back

The common ratio can be found by dividing any term by the previous term in the sequence.

Front

What is the common ratio for the sequence: 28, 14, 7, 3.5...?

Back

The common ratio is 1/2.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

Solve for c: 3c + 5 = 23.

Back

c = 6.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.