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

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

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Front

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

Back

The nth term (a_n) can be calculated 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 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Back

170

Front

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

Back

d = 5

Front

Find the common difference in the sequence: 29, 21, 13, 5, ...

Back

d = -8

Front

Find the 32nd term of the sequence: 34, 37, 40, 43, ...

Back

127

Front

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

Back

3, 12, 21

Front

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

Back

5

Front

If the first term is 10 and the common difference is 3, what is the 10th term?

Back

37