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A Level Maths > Sequences Yr2 > Flashcards

Sequences Yr2 Flashcards

1
Q

What is a deductive sequence?

A

Position to term

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2
Q

What is an inductive sequence?

A

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

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3
Q

What is the definition of a sequence?

A

An ordered set of objects with an underlying rule

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4
Q

What do the following symbols mean?

A
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5
Q

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

A
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6
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7
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8
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9
Q
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10
Q

What is a geometric sequence?

A

One where there is a common ratio between terms

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11
Q

What is an alternating sequence?

A

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

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12
Q

What is the formula for geometric sequences?

A
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13
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14
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15
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16
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17
Q

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

A
18
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19
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20
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21
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22
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23
Q

What is a divergent series?

A

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

24
Q

What is a convergent series?

A

The sum of the values tends towards a set value

25
Q

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

A
26
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27
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28
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29
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31
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32
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33
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34
Q

What are strictly increasing/ decreasing sequences?

A

Strictly increasing: every term is bigger than the last
Decreasing

35
Q

What is a periodic sequence?

A

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

36
Q
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37
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38
Q
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A Level Maths (19 decks)

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