arithmetic sequence

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 the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term in the sequence increases or decreases by.

Front

Identify the common difference in the sequence: 2, 5, 8, 11,...

Back

d = 3

Front

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

Back

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

Front

What is the 10th term of the sequence: 4, 7, 10, 13,...?

Back

The 10th term is 34.

Front

Which of the following sequences is NOT an arithmetic sequence? -7, -13, -19, -25,...; -10, -6, -2, 2; 6, 8, 10, 12; 3, 15, 75, 375,...

Back

3, 15, 75, 375,... is NOT an arithmetic sequence.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 12th term?

Back

The 12th term is 29.

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

Find the sum of the first 5 terms of the arithmetic sequence: 1, 3, 5, 7, 9,...

Back

The sum is 25.

Front

What does it mean for a sequence to pass the vertical line test?

Back

A sequence (or graph) passes the vertical line test if no vertical line intersects the graph at more than one point.