The geometric mean of two numbers is the square root of their product. In you instance any two factors of 900 will have a geometric mean of 30 eg 2 & 450 (2 x 15 = 30, 30 x 15 = 450); 3 & 300 (3 x 10 = 30, 30 x 10 = 300); 6 & 150 (6 x 5 = 30, 30 x 5 = 150) etc etc
√9x1=3
square root of 18
√3 x √15 = 1.73205080756888 x 3.87298334620742 = 6.70820393249937
No, the geometric mean is not the same as the mean of two numbers.
The geometric mean of 3 and 27 is 9.0
The geometric mean of 16 and 3 is 6.92820323028
The geometric mean of two numbers is the square root of their product. In you instance any two factors of 900 will have a geometric mean of 30 eg 2 & 450 (2 x 15 = 30, 30 x 15 = 450); 3 & 300 (3 x 10 = 30, 30 x 10 = 300); 6 & 150 (6 x 5 = 30, 30 x 5 = 150) etc etc
The geometric mean of 3 an 48 is 12 [√(3 x 48) = √144 = 12]
The geometric mean of 3 and 75 is 15.0
Geometric mean of 5 and 15= √(5x15)=√75=5√3
What is the sum of the first 27 terms of the geometric sequence -3, 3, - 3, 3, . . . ?
6.7082
Just use the definition of geometric mean. Multiply all the numbers together, then take the square root. (In this case, it is the square, or second, root, because there are two numbers; for the geometric mean of three numbers, you take the cubic root, etc.)
The geometric mean of 5 and 15 is sqrt (5x15)= sqrt (75)= 5sqrt(3).
12
9