# If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x,y, z are in G.P

## Question

## Solution 1

To prove that x, y, and z are in a geometric progression (G.P.), we need to show that the ratio between any two consecutive terms is constant.

Let's assume that the common ratio of the G.P. is r.

The 4th term of the G.P. is given as x. Using the formula for the nth term of a G.P., we can write:

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```

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