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

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

Back

The 4th term is 5 + 3(4-1) = 14.

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

Find the 7th term of the sequence 4, 8, 12, 16.

Back

The 7th term is 28.

Front

In the sequence 9, 18, 27, 36, what is the common difference?

Back

The common difference is 9.

Front

Determine the next term in the sequence 20, 8, -4.

Back

The next term is -16.

Front

What is the common difference in the sequence 6b, 9b, 12b, 15b?

Back

The common difference is 3b.

Front

If the sequence 6, 11, 16, 21 continues, what will be the 9th term?

Back

The 9th term is 46.

Front

How do you find the common difference in a given arithmetic sequence?

Back

Subtract any term from the subsequent term in the sequence.