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JulijaS [17]
3 years ago
11

I need help please! The sequence 6,18,54,162, ... shows the number of pushups Kendall did each week, starting with her first wee

k of exercising (a) What is the recursive rule for the sequence (b) What is the iterative rule for the sequence
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

a: 3

b. 6973568802

Step-by-step explanation:

a₁ = 6 , r = 3 , a₂₀ =?

Result:

a₂₀ = 6973568802

Explanation:

To find a₂₀ we use the formula

aₙ = a₁ · r ^ⁿ⁻¹

In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above

formula, we obtain:

aₙ = a₁ · r ^ⁿ⁻¹

a₂₀ = 6 · 3 ^²⁰⁻¹

a₂₀ = 6 · 1162261467

a₂₀ = 6973568802

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{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}

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