(Q11).Multiply or divide each term of A.P by a fixed number and write the resulting numbers as a list.

4, 7, 10, 13, 16, ……

Multiplying each term by 3, we get

= 4 × , 7 × , 10 × , 13 × , 16 × , ……

= , , , , , …….

In the list obtained the first term a1 = and a2 = , a3 = , ….

Also a2 – a1 = a3 – a2 = …… =

∴ The resulting list also forms an A.P.

Now divide every term by 7, we get

4
 ,
7
 ,
10
 ,
13
 ,
16
 , …… is the resulting list.