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Alik [6]
3 years ago
8

What is the explicit rule for the geometric sequence? 600, 300, 150, 75, ...

Mathematics
1 answer:
pochemuha3 years ago
5 0

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}

So, the explicit formula is for n

\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

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Hence by using simultaneous equation,

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Substituting equation 3 into equation 1, we get

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By using factorisation,

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