If the 4th, 10th and 16th Terms of a G.P. Are X, Y and Z, Respectively. Prove that X, Y, Z Are in Geometric Progression - CBSE (Arts) Class 11 - Mathematics
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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.
Let a be the first term and r be the common ratio of the G.P.
According to the given condition,
a4 = a r3 = x … (1)
a10 = a r9 = y … (2)
a16 = a r15 = z … (3)
Dividing (2) by (1), we obtain
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Solution If the 4th, 10th and 16th Terms of a G.P. Are X, Y and Z, Respectively. Prove that X, Y, Z Are in Geometric Progression Concept: Geometric Progression (G. P.).