Question

if a, b,c are in A. P. ,then show that 3^a,3^b,3^c are in G. P.​

Answer 1

Given: a,b,c are in A.P.

2b = a + c

It can be written as,

3^2b = 3^a + c

(3^b)^2 = 3^a * 3^c

Hence, 3^a, 3^b, 3^c are in G.P

Hope this helps!

Answer 2

Answer:

Hey buddy...

Here's the answer

Since, a, b, c are in A. P.

• 2b = a + c

therefore, 3^2b = 3^(a+c)

I. e., (3^b)^2 = 3^a * 3^c

therefore,

3^a, 3^b, 3^c are in G. P.

Regards.....

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