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 that each term increases or decreases by in 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(0) + n * d, where a(0) is the first term and d is the common difference.

Front

What is the explicit formula for the arithmetic sequence: -10, -14, -18, -22, ...?

Back

The explicit formula is a(n) = -10 + (n * -4).

Front

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

Back

The 35th term is -146.

Front

Which sequence has a common difference of 4?

Back

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

Front

What is a recursive formula for the sequence 8, 10, 12, 14, 16, ...?

Back

The recursive formula is a(0) = 8, a(n) = a(n - 1) + 2.

Front

Find the 25th term of the sequence if a(0) = 5 and d = 0.5.

Back

The 25th term is 17.

Front

What are the next two terms of the sequence 12, 17, 22, 27?

Back

The next two terms are 32 and 37.

Front

How do you determine the common difference in a given arithmetic sequence?

Back

Subtract any term from the subsequent term in the sequence.