Multiply and divide each term of A.P by a fixed number and write the r

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

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

Answer»

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.