Algebra 1: Lesson 4.13 Arithmetic Sequences

Find the first term in a sequence where the common difference is 6 and the eleventh term is 77.

17

Find the 10th term in the sequence: -5, -2, 1, 4, ...

22

Find the 72nd term in the sequence: -5, -1, 3, 7, ..

279

Find the 21st term in the sequence. -4, 1, 6, 11, 16, ...

96

Is the pattern an arithmetic sequence? Why? 2, 4, 8, 16, _______, _______

No, each number is the previous number multiplied by 2

Is the pattern an arithmetic sequence? Why? 2, 5, 8, 11, _______, _______

Yes, each number is the previous number plus 3

Arithmetic Sequence

adding or subtracting the same number

Term

each number in the sequence

common difference

the difference between any two consecutive terms in an arithmetic sequence

Recursive

uses previous term, when defining using this process you must define the FIRST TERM!