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Geometric Sequences Notes and Worksheets - Lindsay Bowden - Free Printable

Geometric Sequences Notes and Worksheets - Lindsay Bowden

Educational worksheet: Geometric Sequences Notes and Worksheets - Lindsay Bowden. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Geometric Sequences Notes and Worksheets - Lindsay Bowden
- Yes, it is geometric. The common ratio is -2.
- 12.5, 6.25, 3.125
- a(1) = 12; a(n) = a(n-1) * 0.25 for n > 1
- Explicit rule: a(n) = 2 * 4^(n-1); a₂₁ = 2 * 4²⁰ = 2,097,152
- Explicit rule: a(n) = 6 * 3^(n-1); a₃₅ = 6 * 3³⁴
- Recursive rule: a(1) = 225; a(n) = a(n-1) * 0.2 for n > 1; a₇ = 225 * (0.2)⁶ = 0.0576
- Table completion: n=6, a(n)=64; n=7, a(n)=128; n=8, a(n)=256. The graph shows exponential growth, curving sharply upward.
Parent Tip: Review the logic above to help your child master the concept of sequences practice worksheet.
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