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 added to each term to get the next term in the sequence.

Front

Find the next two terms of the sequence: 4, 7, 10, 13.

Back

16 and 19

Front

Find the next two terms of the sequence: 12, 17, 22, 27.

Back

32 and 37

Front

Identify the common difference in the sequence: 3, 7, 11, 15.

Back

4

Front

Identify the common difference in the sequence: 10, 20, 30, 40.

Back

10

Front

Identify the common difference in the sequence: 97, 86, 75, 64.

Back

-11

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 5th term?

Back

17

Front

What is the formula for the nth term of an arithmetic sequence?

Back

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

Front

How do you find the common difference if given two consecutive terms?

Back

Subtract the first term from the second term.