(Q9).Add a fixed number to each and every term of A.P. Write the resulting numbers as a list.

4, 7, 10, 13, 16, ……

Adding ‘5’ to each term of the above A.P. we get

= 4 + , 7 + , 10 + , 13 + , 16 + ,…

= , , , , , ……

In the list obtained the first term

a1 = ; a2 = , a3 = , a4 = ,

Also a2 – a1 = – =

a3 – a2 = – =

a4 – a3 = – =

i.e.,

d = a2 – a1 = a3 – a2 = a4 – a3 = …. =

∴ The resulting list forms an A.P.