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 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

Back

-515

Front

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

Back

3, 12, 21

Front

Which sequence has a common difference of 4? 1, 5, 9, 13, 17....

Back

This sequence has a common difference of 4.

Front

Is the sequence arithmetic: 37, 31, 25, 19, ...?

Back

Yes, it is an arithmetic sequence.

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

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

Back

-146

Front

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

Back

The formula is a(n) = a(1) + (n-1)d.

Front

What is the first term of the sequence: 2, 5, 8, 11, ...?

Back

The first term is 2.