Question

if every term of A.P is multiplied by 3 then the common difference if the new A.P is​

Answer 1

Answer:

Common Difference of the new AP is 3d.

Step-by-step explanation:

Given is an AP.

To find: Common difference when given AP is multiplied by 3.

Given AP,

First term = a and common difference = d

So, Few terms of AP

a , a + d , a + 2d , a + 3d , a + 4d , ...

When 3 is multiplied to all terms of the above AP, we get

3a , 3(a + d) , 3(a + 2d) , 3(a + 3d) , 3(a + 4d) , ...

⇒ 3a , 3a + 3d , 3a + 6d , 3a + 9d , 3a + 12d , ...

Common difference of new AP = 3a + 3d - 3a = 3d

Therefore, Common Difference of the new AP is 3d.