Sequences and Recurrence Relations (VCE SSCE General Mathematics): Quizzes

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Sequences and Recurrence Relations
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What is each individual number in a sequence called?

A term

What does the ellipsis (...) indicate in a sequence?

The pattern continues

What two things are needed to create a sequence recursively?

Starting value and rule

Start with 66, rule: add 44. What are the first three terms?

6,10,146, 10, 14

Start with 55, rule: double then subtract 33. What is the second term?

77

In recurrence relations, what does V0V_0 represent?

Starting value (0 iterations)

What does V0=10,Vn+1=Vn+5V_0 = 10, V_{n+1} = V_n + 5 mean in words?

Start 10, add 5 each time

Given V0=29,Vn+1=Vn4V_0 = 29, V_{n+1} = V_n - 4, what is V2V_2?

2121

In sequence 3,9,15,21,27,33,...3, 9, 15, 21, 27, 33, ..., what is V4V_4?

2727

Given V0=3,Vn+1=Vn+6V_0 = 3, V_{n+1} = V_n + 6, what is V1V_1?

99

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