Write an explicit furmula for the question below 40 points!!!!!!!!!!!!!
1 answer:
Answer:
aₙ = a₁ . 5⁽ⁿ⁻¹⁾
Step-by-step explanation:
The first term in the sequence is a₁ = 6.
a₂ = 30. a₃ = 150.
We see that each consecutive term is multiplies by 5 to arrive at the next term.
That is: a₂ = 30 = a₁ . = 6.5 = 30.
Similarly, a₃ = 150 = 6
Generalizing this, we have:
aₙ = a₁ .
This is called the recursive formula of the sequence.
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For this case defining variables we have:
x: total amount of liters of potting soil.
y: number of liters of potting soil in each pot.
We have then to find the number of pots we use the following expression:
Substituting values we have:
Rewriting we have:
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Answer:
Yao Xin can fill 18 pots