If x, y, z are in G.P. and (x+1), (y+6), 2+3) are in ap x+y+z=26, then find the values of x,y,z .
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Step-by-step explanation:
Since z−y=y−x. x+z=2y and hence 3y=21. So, y=7.
x+z=2y=14. So, z=14−x.
For any value of x, x,7,14−x are in A.P.
If a natural number means a positive integer, them x can take the values 1,2,3,…,13.
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