Geometric & Arithmetic Sequences

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

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

• 18

• 17

• 15

• 14

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

What function describes the sequence?

• f (x) = −0.7x + 8

• f (x) = −0.7x + 8.7

• f (x) = 0.7x + 8

• f (x) = 0.7x + 8.7

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

Write the formula to find the nth term:
24, 12, 6, 3,...

An auditorium has 80 rows of seats and the number of seats per row increases at a constant rate.  If there are 32 seats in the 8th row, and 68 seats in the 20th row, how many seats are in the last row?

• 240

• 248

• 272

• 320

What is the tenth term in the arithmetic sequence: 12, 19, 26, 33, ... Hint: Find the common difference and then either continue the pattern or write and use an explicit formula.

• 47

• 61

• 75

• 96

Now we will look at our OTHER type of sequence... We know arithmetic sequences have an adding pattern... Well GEOMETRIC sequences have a MULTIPLYING pattern. Given the sequence 3, 6, 12, 24, ..., what is the common ratio? Hint: A common ratio is the sequence's multiplier.

• 2

• 4

• 6

• 8