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 (d) is the constant amount that each term increases or decreases by in an arithmetic sequence.

Front

Write the recursive formula for the arithmetic sequence: 6, 4, 2, 0, ...

Back

a(0) = 6; a(n) = a(n - 1) - 2.

Front

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

Back

d = 5.

Front

What is the explicit formula for the arithmetic sequence: 2, 8, 14, ...?

Back

y = 2 + 6x.

Front

How do you find the next term in an arithmetic sequence?

Back

Add the common difference to the last known term.

Front

Write the recursive formula for the sequence: 8, 10, 12, 14, 16, ...

Back

a(0) = 8; a(n) = a(n - 1) + 2.

Front

What are the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...?

Back

3, 12, 21.

Front

Define the term 'explicit formula' in the context of arithmetic sequences.

Back

An explicit formula allows you to find the nth term of a sequence directly, without needing to know the previous terms.

Front

What is the first term of the arithmetic sequence defined by a(n) = 3n + 2?

Back

The first term (a(1)) is 5.