# Arithmetic Progressions

#### Question 16:

A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.

#### Answer:

Let the cost of 1^{st} prize be *P*.

Cost of 2^{nd}
prize = *P* − 20

And cost of 3^{rd}
prize = *P* − 40

It can be observed that the cost ofâ€¦

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