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• State whether the sequence is arithmetic, geometric, or neither; • If the sequence is arithmetic, state the common difference; if geometric, state the common ratio; . Give a recursive definition, including the initial value; Give a closed formula (nth term formula, including what value n should start with.) ● 1. {-1,2,-4, 8, -16,... } 2. {1,-1, -3, -5,...}

• State whether the sequence is arithmetic, geometric, or neither; • If the sequence is arithmetic, state the common difference; if geometric, state the common ratio; . Give a recursive definition, including the initial value; Give a closed formula (nth term formula, including what value n should start with.) ● 1. {-1,2,-4, 8, -16,... } 2. {1,-1, -3, -5,...}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Learning Target R1 (Core):** _I can define basic concepts of sequences. I can find terms of a sequence given their closed formulas. I can identify arithmetic, geometric, and recursive sequences._ For each sequence below, complete **each** of the following:
Transcribed Image Text:**Learning Target R1 (Core):** _I can define basic concepts of sequences. I can find terms of a sequence given their closed formulas. I can identify arithmetic, geometric, and recursive sequences._ For each sequence below, complete **each** of the following:
- State whether the sequence is arithmetic, geometric, or neither. - If the sequence is arithmetic, state the common difference; if geometric, state the common ratio. - Give a recursive definition, including the initial value. - Give a closed formula (nth term formula, including what value \( n \) should start with). 1. \(\{-1, 2, -4, 8, -16, \ldots \}\) 2. \(\{1, -1, -3, -5, \ldots \}\)
Transcribed Image Text:- State whether the sequence is arithmetic, geometric, or neither. - If the sequence is arithmetic, state the common difference; if geometric, state the common ratio. - Give a recursive definition, including the initial value. - Give a closed formula (nth term formula, including what value \( n \) should start with). 1. \(\{-1, 2, -4, 8, -16, \ldots \}\) 2. \(\{1, -1, -3, -5, \ldots \}\)
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