Amit takes the mean of 1/2 and 1, getting 3/4. He then takes the mean of 3/4 and 1, and continues taking the mean of the latest result with 1. The results approach which value but never reach it?

Question

Accepted Answer

1. Means: 3/4, 7/8, 15/16, ... each step halves the gap to 1, so the values get closer and closer to 1 but never reach it.

Amit takes the mean of $\frac{1}{2}$ and 1, getting $\frac{3}{4}$ . He then takes the mean of $\frac{3}{4}$ and 1, and continues taking the mean of the latest result with 1.
The results approach which value but never reach it?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Rational Numbers Between Two Numbers practice

Amit takes the mean of 21​ and 1, getting 43​. He then takes the mean of 43​ and 1, and continues taking the mean of the latest result with 1.The results approach which value but never reach it?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Rational Numbers Between Two Numbers practice

Amit takes the mean of $\frac{1}{2}$ and 1, getting $\frac{3}{4}$ . He then takes the mean of $\frac{3}{4}$ and 1, and continues taking the mean of the latest result with 1.
The results approach which value but never reach it?