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Question 1 (iii)
In which of the following situations does the list of numbers involved make an arithmetic progression and why?
(iii) The cost of digging a well after every metre of digging, when it costs Rs. 150 for the first metre and rises by Rs. 50 for each subsequent metre.

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Solution

Cost of digging first metre = Rs. 150
Cost of digging first 2 metres = 150 + 50 = Rs. 200
Cost of digging first 3 metres = 200 + 50 = Rs. 250
Cost of digging first 4 metres = 250 + 50 = Rs. 300
Clearly; 150, 200, 250, 300 … forms an A.P. because every term is 50 more than the preceding term.

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