Let x and x+1 be two consecutive positive integers. Evaluate the geometric mean and the mean of these two numbers and check if they are equal.
Never
Practice makes perfect
We are asked to determine if the geometric mean and the mean are equal for two consecutive positive integers. Let's recall the formulas for the geometric mean and the mean of two positive integers a and b.
Geometric mean:
sqrt(a* b)
Mean:
a+ b/2
Let x and x+1 be two consecutive positive integers. Our next step will be to evaluate both means for these numbers and check if they are equal. We will start with the geometric mean.
