Algebra Patterns and Sequences

What is the recursive equation to represent the sequence?
10, 5, 0, -5, -10, ....

• a_n = a_n-1 + 5

• a_n = a_n-1 - 5

• a_n = a_n-1 - 10

• a_n = a_n-1 - 15

Find the rate of change of the table

• 3/5

• 3

• 5

• 5/3

A series of patterns or terms is known as

• Series

• Sequence

• Pattence

• Terma

A sequence that has a common difference.

• Geometric sequence

• Arithmetic sequence

• Harmonic sequence

• Fibonacci sequence

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

What is the 67^th term of the following arithmetic sequence.

13, 22, 31, 40, ...

• -445

• 67

• 625

• 607

Find the common difference: 29, 21, 13, 5, ...

• d = -10

• d = -9

• d = -8

• d = -7

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645