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!