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

Find the next three terms in the arithmetic sequence: 2, 5, 8, 11, ...

Back

14, 17, 20

Front

Determine if the sequence is arithmetic: 10, 7, 4, 1, ...

Back

Yes, the common difference is -3.

Front

Is the sequence 1, 3, 6, 10, ... arithmetic?

Back

No, the differences between terms are not constant.

Front

Find the 10th term in the arithmetic sequence: 5, 10, 15, 20, ...

Back

50

Front

What is the formula for 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

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 16.

Front

Find the common difference in the arithmetic sequence: 12, 8, 4, 0, ...

Back

The common difference is -4.

Front

Is the sequence 2, 4, 8, 16, ... arithmetic?

Back

No, the differences between terms are not constant.