Staar Algebra Arithmetic and Geometric Sequences

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n = 2 + 6n

• a_n = -6 + 6n

• a_n = 6n - 4

• a_n = 4 - 6n

Is the sequence geometric or arithmetic?
6, 18, 54...

• Arithmetic

• Geometric

• Neither

Is the sequence -4, -12, -36, -108,... arithmetic, geometric, or neither?

• arithmetic

• geometric

• neither

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

If an arithmetic sequence is graphed, which of the following will best model the shape of the graph?

• Linear

• Exponential

• Quadratic

If a geometric sequence is graphed, which of the following will best model the shape of the graph?

• Linear

• Exponential

• Quadratic

a₄ = 3 and a₁₀ = -39

Find the common difference of the arithmetic sequence.

• -6

• -7

• -8

• -9

a₃ = 225 and a₅ = 5625. Find the common ratio of the geometric sequence.

• 3

• 4

• 5

• 25

When the terms of a sequence differ by the same non zero  number it is called what kind of sequence?

• Algebraic

• Neither

• Geometric

• Arithmetic

What are the next 3 terms in this sequence of terms?     3, 7, 11, 15

• 18, 22, 26

• 19, 21, 23

• 19, 23, 27

• 18, 21, 24