Arithmetic Sequences 1/30

Find the next three terms in the sequence: 4, -1, -6, ...

-11, -16, -21

Find the 12th term in a sequence with common difference -8 and first term 58.

-30

Find the common difference in the sequence: 10, 3, -4, -11, ...

-7

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

17

Find the next three terms in the sequence: 3, 7, 11, 15, ...

19, 23, 27

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 common difference: 16, 25, 34, ..

9

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

96

-3

An arithmetic sequence has 15 terms. The first term is 30 and the last term is -12. Find the common difference

11

Archie uses an exercise bike each time he goes to the gym. The first time he goes he uses the bike for 10 minutes. Each time he uses the bike he increases his time by 2 minutes. He aims to eventually use the bike for 30 minutes. After how many sessions will he manage the full 30 minutes?

-29

Find u₂₀ for the sequence 9, 7, 5, 3, ...

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, -4, 8, -16, _______, _______

No, each term is the previous number multiplied by -2.

Is the pattern an arithmetic sequence? Why? 3, 9, 27, 81, _______, _______

No, each term is the previous number multiplied by 3

Is the pattern an arithmetic sequence? Why? 1, 4, 9, 16, _______, _______

No, each term is the square of the next consecutive integer, starting with 1.

4

What is the common difference of the sequence 3, 7, 11, 15,...?

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

Yes, each number is the previous number plus 3

Is the pattern an arithmetic sequence? Why? 9, 15, 21, 27, _______, _______

Yes, each term is the previous number plus 6

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate or value

Term

each number in the sequence

Fibonacci Sequence

each term is equal to the sum of the two previous terms

Explicit

plug in term number

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 at least one previous term