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 common difference in an arithmetic sequence?

Back

The common difference (d) is the constant amount that each term increases or decreases by in an arithmetic sequence.

Front

How do you find the common difference in the sequence: -18, -23, -28, -33, ...?

Back

The common difference is d = -5.

Front

What is the explicit formula for the arithmetic sequence: 2, 8, 14, ...?

Back

The explicit formula is a_n = 6n - 4.

Front

How do you find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...?

Back

The next three terms are 61, 70, 79.

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 35th term in the arithmetic sequence: -10, -14, -18, -22, ...?

Back

The 35th term is -146.

Front

Is the sequence 17, 9, 1, -7, ... an arithmetic sequence?

Back

Yes, it is an arithmetic sequence.

Front

What is the formula to find the common difference in a sequence?

Back

The common difference can be found using d = a_n - a_(n-1), where a_n is the nth term and a_(n-1) is the previous term.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

Back

The 10th term is 32.