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 formula for the nth term of an arithmetic sequence?

Back

The nth term (a(n)) can be calculated using the formula: a(n) = a(0) + n * d, where a(0) is the first term and d is the common difference.

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) - a(n-1).

Front

What is the first term of the sequence 5, 7, 9, 11?

Back

The first term (a(0)) is 5.

Front

If a(0) = 5 and d = 2, what is the 10th term of the sequence?

Back

The 10th term is 25.

Front

What is the recursive formula for the sequence 10, 8, 6, 4?

Back

The recursive formula is: a(0) = 10, a(n) = a(n-1) - 2.

Front

What is the difference between the first term and the second term in the sequence 3, 6, 9?

Back

The difference is 3, which is the common difference.

Front

What are the next two terms of the sequence 1, 4, 7, 10?

Back

The next two terms are 13 and 16.

Front

What is each number in an arithmetic sequence called?

Back

Each number in an arithmetic sequence is called a term.

Front

If the common difference is -3, what is the next term after 12 in the sequence?

Back

The next term is 9.