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; . Give a closed formula (nth term formula) ● ● 1. 3,1,3,27,... 9 2. 2,-5, -12, -19, -26,...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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:

- 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;
- Give a closed formula (nth term formula).

1. Sequence: 3, 1, \( \frac{1}{3} \), \( \frac{1}{9} \), \( \frac{1}{27} \), ...

2. Sequence: 2, −5, −12, −19, −26, ...
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; - Give a closed formula (nth term formula). 1. Sequence: 3, 1, \( \frac{1}{3} \), \( \frac{1}{9} \), \( \frac{1}{27} \), ... 2. Sequence: 2, −5, −12, −19, −26, ...
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