CBSE Class 10 Maths (Basic) 2025 · Paper 430(B)/S · Question 38

Arithmetic Progressions 4 marks Medium

A long passenger train has

72

passengers in the first coach,

68

passengers in the second coach,

64

passengers in the third coach and so on. Based on the above information, answer the following questions:

(i)If the number of passengers in the successive coaches form an AP, then find the first term and the common difference of the AP.[1]
(ii)In which coach is the number of passengers $56$ ?[1]
(iii)(a)How many passengers are there in total, in the first $10$ coaches?[2]
(iii)(b)How many passengers are there in the $1 0^{t h}$ coach?[2]

Answer

(i) First term

a = 72

, common difference

d = - 4

; (ii) The

5^{t h}

coach; (iii)(a)

540

passengers; (iii)(b)

36

passengers.

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