Question

1. 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 38 for each
additional km.
(ü) The amount of air present in a cylinder when a vacuum pump removes of the
4
air remaining in the cylinder at a time.
(iii) The cost of digging a well after every metre of digging, when it costs 3150 for
the first metre and rises by 350 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.​

Answer 1

Answer

(i) , (iii)

Explaination

I) it is in ap because common differrence is 38.

ii) it is not in ap because no common differrence is there.

iii) it is in ap because common differrence is 350.

iv) it is not in ap because there is no common differrence.

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