Geometric Sequences (AQA A-Level Mathematics): Quizzes

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Geometric Sequences
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10 questions from this quiz

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What is the defining characteristic of a geometric sequence?

Common ratio between terms

How do you obtain the common ratio in a geometric sequence?

Divide a term by its previous term

What is the formula for the nthn^{th} term of a geometric sequence?

un=arn1u_n = ar^{n-1}

For the sequence 2,4,8,16,32,2, 4, 8, 16, 32, \ldots, what is the common ratio rr?

22

What is the nthn^{th} term for the sequence 1,5,25,125,1, 5, 25, 125, \ldots?

un=5n1u_n = 5^{n-1}

For the sequence 3,12,48,192,3, -12, 48, -192, \ldots, what is rr?

4-4

What is the sum formula for nn terms of a geometric sequence?

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

What is the third term u3u_3 in a geometric sequence with first term aa and ratio rr?

ar2ar^2

If ar=0.5ar = 0.5 and ar4=32ar^4 = 32, what should you do to find rr?

Divide ar4ar^4 by arar

To find nn where 4n1<800004^{n-1} < 80000, what mathematical tool is required?

Logarithms

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