217k views
3 votes
Any help is welcome :) only right answers get brainilest

Any help is welcome :) only right answers get brainilest-example-1

2 Answers

4 votes

Explicit rule formula: a(n) = a · rⁿ⁻¹

a(n) = ⁿth term

a = first term

r = common ratio

ⁿ⁻¹ = the previous term

In the recursive rule a₁ = 2/3; aₙ = 9 · aₙ₋₁ the first term is 2/3 and the common ration is 9. We can fill in the explicit formula with what we know.

Thus, the correct answer is [ aₙ = 2/3 · 9ⁿ⁻¹ ]

Best of Luck!

User Dimas
by
8.0k points
4 votes

Answer:


a_(n) =(2)/(3)*9^(n-1)

Explanation:

a1 = 2/3

an = 9*a(n-1)

a2 = 9 *a1 = 9* 2/3

a3 =9*a2 = 9 *(9*2/3) = 9²*2/3

a4 = 9*a3 = 9* (9²*2/3) = 9³*2/3

User Dennis Puzak
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories