if a, b, c are in A.P., then 3a, 3b, 3c are in1. A.P.2. G.P.3. A.P. an

1.	if a, b, c are in A.P., then 3a, 3b, 3c are in1. A.P.2. G.P.3. A.P. and G.P.4. None of these
Answer» Correct Answer - Option 2 : G.P. Given : a, b & c are in A.P Concept used : If the difference between the number of a group is the same then they are in A.P. If the sequence of numbers in which the ratio between consecutive terms is constant then they are in G.P. Calculations : a, b & c are in A.P Let a, b, c be 1, 2 & 3 So, ⇒ 3^a = 3 , 3^b = 3² = 9, 3^c = 3³ = 27 3^c/3^b = 3, 3^b/3^a = 3 So this is a G.P as ratio is constant. ∴ The correct choice is option 2.

if a, b, c are in A.P., then 3a, 3b, 3c are in1. A.P.2. G.P.3. A.P. and G.P.4. None of these

Answer» Correct Answer - Option 2 : G.P.

Given :

a, b & c are in A.P

Concept used :

If the difference between the number of a group is the same then they are in A.P.

If the sequence of numbers in which the ratio between consecutive terms is constant then they are in G.P.

Calculations :

a, b & c are in A.P

Let a, b, c be 1, 2 & 3

So,

⇒ 3^a = 3 , 3^b = 3² = 9, 3^c = 3³ = 27

3^c/3^b = 3, 3^b/3^a = 3

So this is a G.P as ratio is constant.

∴ The correct choice is option 2.