Unit 3 - Topic 3 Sequences

For the arithmetic sequence –8, –11.5, –15, –18.5, … the values of t₁, the first term, and d, the common difference, are

• t₁ = 8, d = 2.5

• t₁ = –8, d = 2.5

• t₁ = –8, d = –2.5

• t₁ = –8, d = –3.5

An arithmetic sequence is defined recursively as shown.

The first 5 terms of this sequence are

• -2, -5, -7, -9, -11

• -2, -7, -12, -17, -22

• -5, -7, -10, -14, -19

• -2, 3, 8, 13, 18

Louise deposits $80 each month into a savings account. Let M_n be the money in the account at the end of month n. Assuming that she starts with M₀ = $1000, a recurrence relation that would describe this situation is

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Which of the sequences below is generated by the recurrence relation

t_n+1 = -t_n - 8, t₁ = –6?

• –4, –10, –16, –22,

  –28, …

• –6, –10, –14, –18,

  –22, –28, …

• –6, –2, –6, –2, –6, …

• –6, –2, 2, 6, 10, …

The first 5 terms of a sequence are plotted on the graph.

Which of the following matches the sequence in the graph?

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The rule for the nth term of the following arithmetic sequence,

3, –6, –15, –24, …  is

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The difference between the 4th and the 10th term of the arithmetic sequence

6, 11, 16, … is

• 20

• 21

• 30

• 51

The 10th term in an arithmetic sequence is 16 and the 3rd term is 2.

The first term in the sequence is

• -1

• -2

• -3

• -4

An office purchases a new printer for $7000.

The printer is depreciated by $900 per year and has a scrap value of $1600.

The number of years before the printer reaches its scrap value is

• 6

• 7

• 5

• 8

Which of the following sequences is a geometric sequence?

• 17, 10, 3, −4, −11

• 27.8, 66.72, 146.78, 308.25, 616.49

• 6.4, −17.92, 50.18, −140.49, 393.38

• 39.4, 32.41, 25.42, 18.43, 11.44