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 the sequence 10, 20, 30, 40, ...?

Back

The common difference is 10.

Front

Which formula represents the arithmetic sequence 3, 8, 13, 18...?

Back

The formula is 3 + 5(n - 1).

Front

What type of sequence has a common difference?

Back

An arithmetic sequence has a common difference.

Front

True or False: If a sequence is arithmetic, it has a common difference.

Back

True.

Front

Find the common difference in the sequence -18, -23, -28, -33, ...

Back

The common difference is d = -5.

Front

What is the nth term formula for an arithmetic sequence?

Back

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

Front

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

Back

The 5th term is 4 + (5 - 1) * 3 = 16.

Front

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

Back

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

Front

In the sequence 2, 5, 8, 11, ..., what is the common difference?

Back

The common difference is 3.