Sequences Yr2

Question 1

What is a deductive sequence?

Answer 1

Position to term

Question 2

What is an inductive sequence?

Answer 2

Each term is defined by relating to the previous one (term to term). Recurrence relation. Not arithmetic or geometric so no formulas apply

Question 3

What is the definition of a sequence?

Answer 3

An ordered set of objects with an underlying rule

Question 4

What do the following symbols mean?

Answer 4

Question 5

What is the formula for the nth term of an arithmetic sequence? (Derivation)

Answer 5

Question 6

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Question 7

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Question 8

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Question 9

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Question 10

What is a geometric sequence?

Answer 10

One where there is a common ratio between terms

Question 11

What is an alternating sequence?

Answer 11

Oscillates between positive and negative. Usually a geometric sequence where the common ratio is negative

Question 12

What is the formula for geometric sequences?

Answer 12

Question 13

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Question 14

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Question 15

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Question 16

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Question 17

What is the formula for the sum of geometric series ? (proof)

Answer 17

Question 18

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Question 19

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Question 20

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Question 21

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Question 22

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Question 23

What is a divergent series?

Answer 23

The sum of the values tends towards infinity, away from 0

Question 24

What is a convergent series?

Answer 24

The sum of the values tends towards a set value

Question 25

What is the sum of infinite terms for a convergent series?

Answer 25

Question 26

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Question 27

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Question 28

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Question 29

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Question 30

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Question 31

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Question 32

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Question 33

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Question 34

What are strictly increasing/ decreasing sequences?

Answer 34

Strictly increasing: every term is bigger than the last
Decreasing

Question 35

What is a periodic sequence?

Answer 35

The terms repeat in a cycle. The order is how often it repeats

Question 36

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Question 37

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Question 38

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Question 39

Answer 39