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Question
In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.
The fee charged every month by a school from Classes I to XII, when the monthly fee for Class I is Rs 250, and it increases by Rs 50 for the next higher class.
Solution
The fee charged month by a school from I to XII is
250, (250 + 50), (250 + 2 × 50), (250 + 3 × 50),...
i.e., 250, 300, 350, 400,...
Which form an AP, with common difference (d) = 300 – 250 = 50
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