Arithmetic Sequences intro 10/27/22

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 constant amount that each term in the sequence increases or decreases by.

Front

Find the common difference of the arithmetic sequence 14, 20, 26, ...

Back

6

Front

Find the common difference of the arithmetic sequence 1, -2, -5, ...

Back

-3

Front

Is 24, 15, 6, ... an arithmetic sequence?

Back

True

Front

Is 3, 5, 7, ... an arithmetic sequence?

Back

True

Front

If the first term of an arithmetic sequence is 3 and the common difference is -7, what is the second term?

Back

-4

Front

If the first term of an arithmetic sequence is 10 and the common difference is 2, what are the first five terms?

Back

10, 12, 14, 16, 18

Front

What are the next two terms of the arithmetic sequence 3, -4, -11?

Back

-18 and -25

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.