The taxi fare is Rs. 14 for the first kilometer and Rs. 2 for each additional kilometer. What will be fare for 10 kilometers ?

2. The taxi fare is Rs. 14 for the first kilometer and Rs. 2 for each additional kilometer. What will be fare for 10 kilometers ?

Sol. Since the taxi fare increases by Rs. 2 every kilometer after the first, the successive taxi fares form an A.P.

The taxi fare for first kilometer (a) = Rs. 14

Increase in taxi fare in every kilometer after first kilometer (d) = 2

No. of kilometers covered by taxi (n) = 10

Taxi fare for 10 kilometers = t10 = ?

tn = a + (n + 1) d

∴  t10 = a + (10 – 1) d

∴  t10 = 14 + 9 (2)

∴  t10 = 14 + 18

∴  t10 = 32

∴  Taxi fare for ten kilometers is Rs. 32.