Practice What Is A Geometric Sequence? (1) - Geometric Sequences - IB 10 Mathematics

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10 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the 6th term of the sequence: 3, 6, 12, 24,...
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Identify the common ratio and apply the n-th term formula.
Question 2.
Determine the common ratio for the sequence: 5, 10, 20, 40,...
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Divide any term by the previous term.
3Question 3.
What defines a geometric sequence?
- Addition of terms
- Multiplication of terms by a constant
- Subtraction of terms
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Think about how each term relates to the previous term.
4Question 4.
True or False: In a geometric sequence, the common ratio can equal zero.
- True
- False
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Consider what happens to terms if the ratio is zero.
Question 5.
A population of rabbits doubles every month. If the initial population is 50 rabbits, how many will there be after 6 months?
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Apply the n-th term formula for geometric sequences.
Question 6.
You deposit $500, and it grows at a 3% annual interest compounded yearly. Calculate how much you'll have after 4 years.
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Remember the financial growth formula for geometric growth.

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