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
Of sorts. 1 3 6 10 15 would have a geometric representation, but would not fit the definition of a "geometric sequence". One example of a geometric representation of the sequence would be the number of total bowling pins as you add each row. The first row as 1 pin, the second has 2, then 3,4,5. 1 = 1 + 2 = 3 + 3 = 6 + 4 = 10 + 5 = 15
√3 x √300 = 1.73205080756888 x 17.3205080756888 = 30
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, . . . ?
The geometric mean of 5 and 15 is sqrt (5x15)= sqrt (75)= 5sqrt(3).
6.7082
The geometric mean of 3 and 75 is 15.0
The geometric mean of 15 and 24 is 18.973665961
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 3 and 27 is 9.0
The geometric mean of 16 and 3 is 6.92820323028
15 is the geometric mean of 25 and 35.
sqrt(8*15) is the geometric mean. sqrt(120)=2*sqrt(30)
Geometric mean of 12 and 15 is 13.416407864998738 Look at link: "Calculation of the geometric mean of two numbers".