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

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 explicit formula for an arithmetic sequence?

Back

The explicit formula is a_n = a_1 + (n - 1)d.

Front

Given the sequence 3, 7, 11, 15, what is the common difference?

Back

The common difference is 4.

Front

Is the sequence 5, 10, 15, 20 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence with a common difference of 5.

Front

Find the 10th term of the arithmetic sequence: 2, 5, 8, 11...

Back

The 10th term is 32.

Front

What is the first term of the arithmetic sequence defined by a_n = 4 + 3(n - 1)?

Back

The first term is 4.

Front

If the common difference is -2, what is the next term after 10 in the arithmetic sequence?

Back

The next term is 8.

Front

What is the 5th term of the sequence defined by a_n = 6 + 5(n - 1)?

Back

The 5th term is 26.