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Math Quiz - Sequences




Covering: arithmetic and geometric sequences, partial sums, and recursive formulas, as well as real-world applications of sequence concepts.

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1. A geometric sequence has a first term a₁ = 5 and a 3rd term a₃ = 45. What is the 6th term of the sequence?

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2. An arithmetic sequence has a first term a₁ = -4 and a common difference d = 6. What is the sum of the 11th, 12th, and 13th terms of the sequence?

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3. Given a geometric sequence with the first term a₁ = 1 and the 4th term a₄ = -27, what is the common ratio r?

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4. Given an arithmetic sequence with the first term a₁ = 7 and a common difference of d = -3, what is the sum of the first 9 terms?

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5. In a geometric sequence, if the first term is a₁ = 3 and the common ratio r = 2, what is the 4th term of the sequence?

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