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 is the fixed amount that each term increases or decreases by in an arithmetic sequence.

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, d is the common difference, and n is the term number.

Front

Identify the common difference in the sequence: 3, 7, 11, 15.

Back

4

Front

Find the 32nd term of the sequence: 9, 4, -1, -6, -11.

Back

-146

Front

Find the 32nd term of the sequence: 34, 37, 40, 43.

Back

127

Front

If Abby collected 4 pens in the first week and 7 in the second week, how many pens will she collect in the 28th week?

Back

85

Front

What is the missing term in the sequence: -8, -5, ____, 1, 4, 7?

Back

-2

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

What is the first term of the sequence: 5, 10, 15, 20?

Back

5