Arithmetic and Geometric Sequences

Is the sequence 7, 9, 12, 16,... geometric?

• yes
• no

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic
• Geometric
• Neither

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

• 1,250
• 5
• 10
• 50

The individual numbers in a sequences are called...

• Common difference
• Successive term
• Term
• Geometric term

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28
• -21, -25, -29
• -23, -28, -33
• -24, -29, -32