NDA2024MathematicsSequences and SeriesActual
Let x>1, y>1, z>1 be in GP. Then 1 1+ x , 1 1+ y , 1 1+ z are
Options
- Ain AP
- Bin GP
- Cin HP
- Dneither in AP nor in GP nor in HP
Correct answer
C. in HP
Step-by-step solution
Since, x , y , z are in G.P. aligned & y^2=x z 2 y= x+ z & y- x= z- y & x, y, z are in A P . & (1+ x),(1+ y),(1+ z) are in A P & 1 (1+ x) , 1 (1+ y) , 1 (1+ z) are in A P . aligned