Arithmetic Sequences

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: 5, 8, 11, 14,...

Back

d = 3

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

Is the sequence 17, 9, 1, -7 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence.

Front

Find the common difference for the sequence: 29, 21, 13, 5,...

Back

d = -8

Front

What are the next two terms in the arithmetic sequence: 13, 19, 25?

Back

31 and 37

Front

What is the next term in the sequence: 2.94, 1.94, 0.94, -0.06, -1.06?

Back

-2.06

Front

If the first term of an arithmetic sequence is 4 and the common difference is 2, what is the 5th term?

Back

The 5th term is 12.

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.