The recursive formula of the sequence is aₙ = aₙ₋₁ - 30
<h3>How to determine the
recursive formula of the sequence?</h3>
From the question, we have the following sequence that can be used in our computation:
67 ,37 ,7, -23, -53
In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ - 30
The above represents the recursive rule
Hence, the recursive rule of the function is aₙ = aₙ₋₁ - 30
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This is very similar to the last question:-
0.51No = No e^_0.0001t
t = ln 0.51 / 0.0001
= 6733 years
If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
<h3>
Number of ropes and Percent of stand area</h3>
Given:
Base area=3ft²
Height=3.2 feet
Surface area=35ft²
a. Number of ropes
Surface area=2×Base area×Base perimeter×Height
Base perimeter(BP):
35=2×3+BP×3.2
35=6+3.2BP
Collect like term
3.2BP=35-6
3.2BP=9
Divide both side by 3.2BP
BP=29/3.2
BP=9.0625ft
Number of ropes=5×9.0625ft
Nimber of ropes=45.3125ft
b. Percent of stand area:
Percent of stand area=(9.0625ft×3.2)÷35ft²
Percent of stand area=29ft²÷35ft²×100
Percent of stand area=82.857ft×100
Percent of stand area=83% (Approximately)
Therefore the number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
Learn more about Percent of stand area here:brainly.com/question/2639075
