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svet-max [94.6K]
3 years ago
8

Find the common ratio of the sequence -164, -82, -41, -20.5

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

r = \frac{1}{2}

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = \frac{a_{2} }{a_{1} } = \frac{a_{3} }{a_{2} } = \frac{a_{4} }{a_{3} } = ......

r = \frac{-82}{-164} = \frac{-41}{-82} = \frac{1}{2}

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a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
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weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
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-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple 

</span><span>b.By what percentage is the apple lighter than the grapefruit?
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-> The apple ts 20% lighter than the grapefruit.
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