Arithmetic Sequences Intro

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 is added to each term to get the next term in the sequence.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the second term?

Back

The second term is 8.

Front

If the common difference of an arithmetic sequence is negative, what does that indicate about the sequence?

Back

It indicates that the sequence is decreasing.

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_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n of the first n terms is given by S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

In the sequence 2, 5, 8, 11, what is the common difference?

Back

The common difference is 3.

Front

What is the next term in the sequence 10, 7, 4, 1?

Back

The next term is -2.

Front

If a sequence has a common difference of 0, what type of sequence is it?

Back

It is a constant sequence.

Front

What does it mean if two terms in an arithmetic sequence are equal?

Back

It means that the common difference is zero, and all terms are the same.