In which of the following situations, does the list of numbers involved make an
arithmetic progression, and why?
(i) The taxi fare after each km when the fare is ₹ 15 for the first km and ₹ 8
for each additional km.
(ii) The amount of air present in a cylinder when a vacuum pump removes 1
4
of
the air remaining in the cylinder at a time.
(iii) The cost of digging a well after every metre of digging, when it costs
₹ 150 for the first metre and rises by ₹ 50 for each subsequent metre.
(iv) The amount of money in the account every year, when ₹ 10000 is
deposited at compound interest at 8 % per annum.
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