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.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence: -34, -29, -24, -19, ...?

Back

+5

Tags

CCSS.HSF.BF.A.2

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.

Tags

CCSS.HSF.BF.A.2

Front

Find the 22nd term of the arithmetic sequence: 5, 8, 11, ...

Back

68

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence: 5, 8, 11, ...?

Back

+3

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 17, 9, 1, -7, ... arithmetic?

Back

Yes, the common difference is -8.

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 78, 785, 7855, 78555, ... arithmetic?

Back

No, the differences between terms are not constant.

Tags

CCSS.HSF.BF.A.2

Front

Find the 41st term in the arithmetic sequence: 230, 226, 222, 218 ...

Back

70

Tags

CCSS.HSF.BF.A.2

Front

What is the formula to find the common difference in an arithmetic sequence?

Back

The common difference d can be found using d = a_n - a_(n-1), where a_n is the nth term and a_(n-1) is the previous term.

Tags

CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 10 and the common difference is 2, what is the 5th term?

Back

18

Tags

CCSS.HSF.BF.A.2