Geometric Sequences (Leaving Cert Mathematics): Quizzes

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Geometric Sequences
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10 questions from this quiz

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What is a key feature of a geometric sequence?

Each term multiplied by a rr

How is the general term of a geometric sequence expressed?

arn−1ar^{n-1}

To find the common ratio rr, you should:

Divide TnT_n by Tn−1T_{n-1}

Given the seq 1,5,25,...1, 5, 25, ..., what is the general term?

5n−15^{n-1}

In the sequence 16,10,6.25,...16, 10, 6.25, ..., what is xx when the seq is geometric?

x=16x=16

What is the percentage remaining after 4 days if Tn shrinks exponentially?

8.6569%

What is the first day when amount <0.01%< 0.01\% in decay?

Day 13

To prove seq is geometric, you must show?

r=Tn/Tn−1r=T_n/T_{n-1} is constant

Are xnyn−1x^n y^{n-1} seq geometric?

Yes, ratio=xyxy constant

In seq: 2,6,18,...2, 6, 18, ..., what is rr?

33

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