Geometric Sequences (AQA A-Level Mathematics): Flashcards

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Geometric Sequences
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What defines a geometric sequence?

A sequence with a common ratio between consecutive terms

How to find common ratio rr?

Divide a term by its previous term

In geometric sequence, symbol aa represents

First term

In geometric sequence, symbol rr represents

Common ratio

nthn^{th} term formula for geometric sequence

un=arn1u_n = ar^{n-1}

Sum of nn terms formula (geometric sequence)

Sn=a(1rn)1rS_n = \frac{a(1-r^n)}{1-r}

Second term u2u_2 in geometric sequence

arar

Third term u3u_3 in geometric sequence

ar2ar^2

Common ratio for 2,4,8,16,...2, 4, 8, 16, ...

22

Common ratio for 100,50,25,12.5,...100, 50, 25, 12.5, ...

12\frac{1}{2}

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