Pure 2 chapter 3

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8 Terms

1
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Sequence

Ordered list of numbers defined by an equation

2
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Series

Sum of n terms in a sequence

3
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Arithmetic sequence

Constant difference between consecutive terms e.g. 2 4 6 8

4
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Geometric sequence

Common ratio between consecutive terms e.g. 2 4 8 16

5
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Sum to infinity

Sum of series as n tends to infinity

6
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Divergent series

As n tends to infinity Sn also tends to infinity

7
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Convergent series

As n tends to infinity Sn gets closer to a finite value

8
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∑

Symbol to signify sum with limit on top and first value on bottom e.g. r=1,2,3,4,5 top value is “5” bottom is “r=1”