An Introduction to Geometric Sequences (VCE SSCE General Mathematics): Quizzes

📚Quizzes
An Introduction to Geometric Sequences
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

How is each term in a geometric sequence created?

Multiply previous term by fixed number

What is the common ratio in the sequence 3,12,48,192,3, 12, 48, 192, \ldots?

44

What is the common ratio in the sequence 16,8,4,2,16, 8, 4, 2, \ldots?

12\frac{1}{2}

Is the sequence 2,10,50,250,2, 10, 50, 250, \ldots geometric?

Yes, all ratios equal 55

Is the sequence 3,6,18,36,3, 6, 18, 36, \ldots geometric?

No, ratios are 2,3,22, 3, 2 (not constant)

What operation distinguishes geometric from arithmetic sequences?

Geometric multiplies, arithmetic adds

What happens to a geometric sequence when R>1R > 1?

The sequence increases (exponential growth)

What happens to a geometric sequence when 0<R<10 < R < 1?

Sequence decreases toward zero (decay)

If a sequence increases by 20%20\% each term, what is RR?

1.21.2

What formula finds the common ratio in a geometric sequence?

R=any termprevious termR = \frac{\text{any term}}{\text{previous term}}

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.