Practice General Form Of A Geometric Sequence (1.1)

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6 sample questions

Question 1.
Find the 6th term of the sequence: 2, 6, 18, 54,…
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Use the common ratio to find the next term.
Question 2.
What is the common ratio for the sequence: 5, 15, 45, 135?
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Divide the second term by the first term.
3Question 3.
What is a geometric sequence?
- A series where numbers increase by addition
- A sequence where each term is multiplied by a fixed value
- A sequence of random numbers
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Think about the operations involved to progress from one term to the next.
4Question 4.
True or False: The sum of an infinite geometric series converges if |r| >= 1.
- True
- False
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Recall the definitions regarding convergence and divergence.
Question 5.
A viral video starts with 10 views and doubles every hour. How many views will it have after 6 hours?
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Use the formula for exponential growth based on geometric sequences.
Question 6.
The sum of an infinite series S = 8 + 4 + 2 + ... What is the finite sum?
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Identify the common ratio and apply the infinite sum formula.

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