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.