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

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2. Given an arithmetic sequence with a first term of a₁ = 2 and a common difference of d = 2, what is the 6th term of the sequence?

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3. If the first three terms of an arithmetic sequence are 3, 5, and 7, what is the common difference d?

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4. In a geometric sequence, if the first term is a₁ = 8 and the common ratio r = -2, what is the 4th term of the sequence?

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5. In a geometric sequence, the first term a₁ = 4, and the common ratio r = 3. What is the sum of the first 6 terms?

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