Continuing Priya's process from 0 and 1, each step takes the mean of 0 and the previous result. The results are 1/2, 1/4, 1/8, ... What is the result after the fourth average?

Question

Accepted Answer

1/16. Results halve each step: 1/2, 1/4, 1/8, 1/16. So after the fourth average it is 1/16.

Continuing Priya's process from 0 and 1, each step takes the mean of 0 and the previous result.
The results are $\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, ...$
What is the result after the fourth average?

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More Class 8 Rational Numbers Between Two Numbers practice

Continuing Priya's process from 0 and 1, each step takes the mean of 0 and the previous result.The results are 21​,41​,81​,...What is the result after the fourth average?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Rational Numbers Between Two Numbers practice

Continuing Priya's process from 0 and 1, each step takes the mean of 0 and the previous result.
The results are $\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, ...$
What is the result after the fourth average?