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  • 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

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

Answers (1)

Answer.          [Yes]

Solution.        

According to question:

Fees started Rs. 250 and increased by 50 Rs. from I to XII is

\text{Here the first term } (a_1) = 250 \text{ and the common difference } (d) = 50 \\ a_1 = 250 \\ a_2 = 250 + 50 = 300 \\ a_3 = 300 + 50 = 350 \\ a_4 = 350 + 50 = 400 \\ \text{So the AP is } 250, 300, 350, 400, \ldots                       

It forms an AP with common difference 50.

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