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The average of a number and its reciprocal is 1. What is the average of its square, cube and fourth power?

Q: Answer-The average of a number and its reciprocal is 1. What is the average of its square, cube and fourth...

Let the number be x So, its reciprocal 1x Average 1 So, total 1 2 2 So, x 1x 2 So, x 1 Now we know any power of 1 is always 1 So, average 1 1 13 1 Average is 1

A 2

B 1

C 1.33

D 2.67

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The average of a number and its reciprocal is 1. What is the average of its square, cube and fourth power?

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