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A sum of Rs 700 is to be used to give seven cash prizes to stu

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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.

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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.

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Text solutionVerified

Solution: Here, we are given,

S_{7} = 700, n = 7 and d = - 20

We know,

S_{n} = \frac{n}{2} (2 a + (n - 1) d)

700 = \frac{7}{2} (2 a + 6 (- 20))

200 = 2 a - 120 \Rightarrow a = \frac{320}{2} = 160

So,

a_{1} = 160

a_{2} = 160 - 20 = 140

a_{3} = 140 - 20 = 120

a_{4} = 120 - 20 = 100

a_{5} = 100 - 20 = 80

a_{6} = 80 - 20 = 60

a_{7} = 60 - 20 = 40

So, value of each of the prives will be,

160, 140, 120, 100, 80, 60, 40

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Question Text	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 Type	Text solution:1
Upvotes	150

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.

Text solutionVerified

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