Arithmetic Sequence

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 explicit formula for an arithmetic sequence?

Back

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

Front

What is the recursive formula for an arithmetic sequence?

Back

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

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 14.

Front

What is the common difference in the sequence 10, 15, 20, 25?

Back

The common difference is 5.

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula a_n = a_1 + (n - 1)d.

Front

What are the first five terms of the sequence defined by a_n = 2 + 4(n - 1)?

Back

The first five terms are 2, 6, 10, 14, 18.

Front

In the sequence 7, 10, 13, 16, what is the 10th term?

Back

The 10th term is 40.

Front

What does the term 'previous term' refer to in a recursive formula?

Back

It refers to the term that comes before the current term in the sequence.

Front

Which of the following sequences is arithmetic: 2, 4, 6, 8 or 1, 2, 4, 8?

Back

The sequence 2, 4, 6, 8 is arithmetic.