Find the ratio and terms of a geometric sequence
9th grade (Year 10 in England) · 16 questions · Common Core: HSF.BF.A.2, HSF.LE.A.2 · England: GCSE Higher Algebra
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Question 1
What is the common ratio of the geometric sequence 3, 6, 12, 24, …?
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Question 2
Aisha invests $9000. The value is multiplied by 0.9 every year, giving a geometric sequence. What is the value at the start of year 5 (after 4 years)? Round to the nearest whole number.
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Question 3
Find the 6th term of the geometric sequence −3, −6, −12, …
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Question 4
What is the common ratio of the geometric sequence 96, 48, 24, 12, …?
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Question 5
Omar invests $8000. The value is multiplied by 0.9 every year, giving a geometric sequence. What is the value at the start of year 6 (after 5 years)? Round to the nearest whole number.
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Question 6
Find the 5th term of the geometric sequence 4, 12, 36, …
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Question 7
What is the common ratio of the geometric sequence 1, 4, 16, 64, …?
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Question 8
Leo invests $6000. The value is multiplied by 0.8 every year, giving a geometric sequence. What is the value at the start of year 6 (after 5 years)? Round to the nearest whole number.
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Question 9
Find the 6th term of the geometric sequence 3, 6, 12, …
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Question 10
What is the common ratio of the geometric sequence −1, 3, −9, 27, …?
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Question 11
Luis invests $4000. The value is multiplied by 1.05 every year, giving a geometric sequence. What is the value at the start of year 5 (after 4 years)? Round to the nearest whole number.
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Question 12
Find the 7th term of the geometric sequence 5, −10, 20, …
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Question 13
What is the common ratio of the geometric sequence 96, 48, 24, 12, …?
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Question 14
Kwame invests $4000. The value is multiplied by 0.8 every year, giving a geometric sequence. What is the value at the start of year 5 (after 4 years)? Round to the nearest whole number.
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Question 15
Find the 7th term of the geometric sequence 729, 243, 81, …
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Question 16
What is the common ratio of the geometric sequence 2, 10, 50, 250, …?
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