Question

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

Answer 1

4, 7, 10, 13, 16, ……. 

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

4 + 5, 7 + 5, 10 + 5, 13 + 5, 16 + 5,… 

9, 12, 15, 18, 21, …… 

In the list obtained the first term 

a₁ = 9; a₂ = 12, a₃ = 15, a₄ = 18, 

Also a₂ – a₁ = 12 – 9 = 3 

a₃ – a₂ = 15 – 12 = 3 

a₄ – a₃ = 18 – 15 = 3 …………………………………… 

i.e., 

d = a₂ – a₁ = a₃ – a₂ = a₄ – a₃ = …. = 3 

∴ The resulting list forms an A.P.