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 22nd term of the sequence: 5, 8, 11, ... (Hint: Write the explicit rule first, then use it to solve)

Back

68

Front

Select the explicit rule that represents the sequence: 6 + 5(n - 1), 4 + 6(n - 1), 6 - 4(n - 1)

Back

6 + 5(n - 1)

Front

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

Back

3, 12, 21

Front

Is the sequence arithmetic: -3, 3, -3, 3, ...?

Back

No

Front

Write a recursive rule for the sequence 17, 1, -15, -31 ...

Back

a_n = a_(n-1) - 16

Front

What is the explicit formula for the nth term of an arithmetic sequence?

Back

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

Front

How do you find the common difference in an arithmetic sequence?

Back

Subtract any term from the term that follows it.

Front

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

Back

The 5th term is 22.