Common Core HSF.BF.A.2 worksheet
High school · 16 questions · Common Core: HSF.BF.A.2, HSF.LE.A.2, HSA.SSE.B.4, HSF.LE.A.1 · England: KS3 Algebra, GCSE Foundation Algebra, GCSE Higher Algebra
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Date
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Question 1
Is 1, 4, 9, 16, 25, … arithmetic, geometric or neither?
- A. Arithmetic
- B. Geometric
- C. Neither
Question 2
An arithmetic sequence starts 5, 3, 1, … Find the 62th term.
Answer
Question 3
A geometric sequence starts 1, 3, 9, … What is the 8th term?
Answer
Question 4
u₁ = 1 and uₙ₊₁ = −2uₙ + 5. Find u₄.
Answer
Question 5
In an arithmetic sequence, a₇ = 9 and a₉ = 13. Find the first term a₁.
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Question 6
The nth term of a sequence is −4n − 5. What is the 25th term?
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Question 7
Find the sum of the first 36 terms of the arithmetic series −6 + (−5) + (−4) + …
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Question 8
A loan of $900 grows by 2% interest each month, then a payment of $400 is made. So Bₙ₊₁ = 1.02Bₙ − 400. What is the balance after 3 months? Round to 2 decimal places.
Answer
Question 9
The sequence 13, 19, 25, … continues with the same difference. Which term is equal to 259?
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Question 10
What is the common ratio of the geometric sequence 5, 15, 45, 135, …?
Answer
Question 11
Find the 7th term of the geometric sequence 3, 6, 12, …
Answer
Question 12
Which rule generates 3, 10, 31, 94, …?
- A. uₙ₊₁ = 3uₙ + 1
- B. uₙ₊₁ = 3uₙ − 1
- C. uₙ₊₁ = uₙ + 7
- D. uₙ₊₁ = 2uₙ + 3
Question 13
Nia invests $6000. 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.
Answer
Question 14
Is 21 a term in the sequence with nth term 2n + 3?
- A. Yes
- B. No
Question 15
What type of sequence does aₙ = 6n − 2 produce?
- A. Arithmetic
- B. Geometric
- C. Neither
Question 16
Find the sum of the first 5 terms of the geometric series 5 + 10 + 20 + …
Answer
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