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3 years ago

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

Mathematics

2 answers:

a_sh-v [17]3 years ago

8 0

Answer:

H(n) = 234⁽ⁿ⁻¹⁾

Step-by-step 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⁾

kolezko [41]3 years ago

3 0

Answer:

−26⋅(−9) ^n-1

Step-by-step explanation:

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After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could

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1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.

Step-by-step explanation:

Let 'x' be the number of rocks George had.

As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks

It means after getting 5 new rocks George's total rocks = 72

Given that he gave half collection to Susan = 36

Thus, before inducting 5 new rocks Georg's total rocks were = 67

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1/2 (x+5) = 36 should be the correct equation.

solving

1/2 (x+5) = 36

Multiplying both sides by 2

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Thus, before getting 5 new rocks, the number of rocks George had = 67

Therefore,

1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.

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2 years ago

Read 2 more answers

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

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