Reciprocals of term of a G.P are also in....
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Step-by-step explanation:
The reciprocal of the terms of a given G.P. form a G.P. with common ratio as reciprocal of the common ratio of the original G.P. (3) If each term of a G.P. with common ratio r be raised to the same power k, the resulting sequence also forms a G.P. with common ratio rk.
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Step-by-step explanation:
Let a be the first term and r be the common ratio of the GP.
So, the series is a,ar,ar²....
Their Reciprocals are 1/a,1/ar,1/ar²....
It is also a GP, with first term 1/a, and common ratio 1/r.
The reciprocals of all the terms of a geometric progression form a GEOMETRIC PROGRESSION.
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