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 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 (a_n) 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

Find the 63rd term of the arithmetic sequence: -1, 5, 11, ...

Back

371

Front

What is the explicit rule for the arithmetic sequence: -15, -35, -55, -75, ...?

Back

The explicit rule is a_n = -15 - 20(n-1).

Front

Find a_26 in the arithmetic sequence: -15, -35, -55, -75, ...

Back

-515

Front

What is the common difference of the arithmetic sequence: -2, 5, 12, 19, 26, ...?

Back

7

Front

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Back

3, 12, 21

Front

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

d = 5

Front

What is the first term of the arithmetic sequence: 4, 10, 16, ...?

Back

4