In which of the following situations, does the list of numbers involved make an arithmetic progression, and whyIn which of the following situations, does the list of numbers involved make an arithmetic
progression, and why?

2

(i) 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.
(ii) 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.
(iii) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each
additional km.
(iv) The amount of money in the account every year, when Rs 10000 is deposited at compound
interest at 8 % per annum.
(v) Divya deposited Rs 1000 at compound interest at the rate of 10% per annum. The
amounts at the end of first year, second year, third year, ..., form an AP. Justify your
answer

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