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

Is the sequence arithmetic: 78, 785, 7855, 78555, ...?

Back

No, this sequence is not arithmetic because the differences between terms are not constant.

Front

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

Back

-23, -28, -33

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

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

Back

-146

Front

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

Back

3, 12, 21

Front

What is the explicit rule for the arithmetic sequence: 6, 11, 16, 21, ...?

Back

The explicit rule is: a_n = 6 + 5(n - 1).

Front

How do you determine if a sequence is arithmetic?

Back

To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant.

Front

What is the first term of the arithmetic sequence: 5, 10, 15, ...?

Back

The first term is 5.