Question

H(1) = -26
h(n) = h(n − 1).(-9)
Find an explicit formula for h(n).​

Answer 1

−26⋅(−9) ^n-1

Explanation:

Answer 2

H(n) = 234⁽ⁿ⁻¹⁾

Explanation:

Hello,

The first thing to do when finding an explicit equation is to determine if the sequence is arithmetic or geometric.

In this question, the sequence is a geometric progression.

h(n) = h⁽ⁿ⁻¹⁾.(-9)

a = -26

r = common difference

a(n) =ar⁽ⁿ⁻¹⁾

h(n) = -26 × (-9)hⁿ⁻¹⁾

h(n) = 234⁽ⁿ⁻¹⁾