Find the value of k if 3,k,48are in g.p
well, 48 = 3*r^2
or, consider that the geometric mean of 3 and 48 is √(3*48)
The second term of a g.p is 1/9 find the first team and the common ratio
To find the value of k if 3, k, 48 are in a geometric progression (GP), we need to determine the common ratio (r) between consecutive terms.
In a geometric progression, each term can be obtained by multiplying the preceding term by the common ratio (r).
So, using this property, we can form the equation:
k / 3 = 48 / k
To solve this equation, we can cross multiply:
k * k = 3 * 48
k^2 = 144
Taking the square root of both sides:
k = ±√144
k = ±12
Hence, the value of k can be either positive 12 or negative 12.