if a,b,c are in A.P. then prove that 3^a,3^b,3^c are in G.P.
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if a,b,c are in A.P. then prove that 3^a,3^b,3^c are in G.P.
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i hope u understand the method i have done.
Answer:
It is proved that is in G.P.
Step-by-step explanation:
It is given that a, b, c are in A.P, hence
For to be in G.P., has to be equal to [Since, for x, y, z in G.P => y = √xz]
∴
Squaring on both sides:
On squaring the square root will get eliminated
[Since, bases are common.]
Thus, it is proved that if a, b, c are in A.P., then are in G.P.