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Get Answers to all your Questions
Q : 1 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 for the first metre and rises by
for each subsequent metre.
Answers (1)
It is given that
Cost of digging of 1st meter = Rs 150
and
rises by for each subsequent metre
Therefore,
Cost of digging of first 2 meters = cost of digging of first meter + cost of digging additional meter
Cost of digging of first 2 meters = 150 + 50
= Rs 200
SImilarly,
Cost of digging of first 3 meters = cost of digging of first 2 meters + cost of digging of additional meter
Cost of digging of first 3 meters = 200 + 50
= Rs 250
We can clearly see that 150 ,200,250, ... is in AP with each subsequent term is obtained by adding a fixed number (50) to the previous term.
Therefore, it is an AP with first term (a) = 150 and common difference (d) = 50
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