Question

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

Answer 1

4, 7, 10, 13, 16, …… 

Multiplying each term by 3, we get 

4 × 3, 7 × 3, 10 × 3, 13 × 3, 16 × 3, …… 

12, 21, 30, 39, 48, ……. 

In the list obtained the first term a₁ = 12 and a₂ = 21, a₃ = 30, …. 

Also a₂ – a₁ = a₃ – a₂ = …… = 9 

∴ The resulting list also forms an A.P. 

Now divide every term by 7, we get

\(\frac{4}{7}\), \(\frac{7}{7}\), \(\frac{10}{7}\), \(\frac{13}{7}\), \(\frac{16}{7}\), …… is the resulting list.