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Study Fact Sheet 8

# Study Fact Sheet 8 - th term is 30 Geometric Sequence Ex...

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Jake Venditto 1/25/10 Groom Study Fact Sheet Sequences and Series Identify Whether a Sequence is Arithmetic or Geometric or Neither Arithmetic sequence: If a sequence of values follows a pattern of adding a fixed amount from one term to the next. The number added to each term is the common difference The common difference (d): The difference between two successive terms yields the constant value that was added. To find the common difference, subtract the first term from the second term. Geometric Sequence: A sequences of numbers that follow a pattern of multiplying a fixed number from one term to the next The common ratio: The fixed number is called the common ratio Finding the n th term Arithmetic Sequence: Ex. Find the 20 th term in the sequence (1,-2, -5, …) Ex. 2 Find the 27 th term if the 5 th term is -2 and the 13

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Unformatted text preview: th term is 30 Geometric Sequence: Ex. Find the 10 th term in the sequence (1, , , ) Finding The sum Arithmetic Sequence: Ex. Find S of (8,11,14,) Ex. Find the sum of (6 + 17 + 28 + +215) Geometric Sequence: Ex. Find S if a = -512 and a = 4096 Ex. Finite and Infinite and Convergence of Geometric Series 15 n=1 4 3 n - 1 For the following examples state whether the series converges or diverges. If the series converges, find the infinite geometric sum Ex. 8 + 4 + 2 + Ex. Ex. + Sin: I, II + Cos: I , IV Even Cos rose curve on line r = 3 cos(): Circle r = 2 + 2 cos(): Cardioid r = 1 + 2 cos(): Inner Loop r = 3 + 2 cos(): Dimple r = 4cos(3): one I, II x-axis r = 4sin(3): one III, IV y-axis n = 1 6 (- 2/3) n-1 n = 1 n-1 1/3 (-6)...
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Study Fact Sheet 8 - th term is 30 Geometric Sequence Ex...

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