Arithmetic Sequence

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

Given the sequence 5, 8, 11, 14, ..., what is the common difference?

Back

d = 3.

Front

If the first term of an arithmetic sequence is 2 and the common difference is 4, what is the 5th term?

Back

The 5th term is 18.

Front

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

Back

The nth term is given by the formula: a_n = a_1 + (n-1)d.

Front

Find the next three terms in the arithmetic sequence: 10, 15, 20, ...

Back

25, 30, 35.

Front

What is the common difference of the sequence: 12, 9, 6, 3, ...?

Back

d = -3.

Front

If the 3rd term of an arithmetic sequence is 10 and the common difference is 2, what is the first term?

Back

The first term is 6.

Front

What is the 7th term of the arithmetic sequence defined by a_n = 4 + (n-1) * 3?

Back

The 7th term is 22.

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.