Question 7 (ii) 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 Ito XII, when the monthly fee for class I is ₹ 250 and it increases by ₹ 50 for the next higher class.
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Solution
The fee charged every month by a school from I to XII is: 250,(250+50),(250+2×50),(250+3×50),… whichis,250,300,350,400,…
These numbers form an AP, with common difference (d) = 300 – 250 = 50