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CBSE Class 10 Answered

A sum of RS 700 is to be used to give seven cash prizes to students of school for their overall academic performance. If each prize is RS 20 less then its preceding prize, find the value of each of the prizes.   From A.P.
Asked by snehil1525 | 19 Jul, 2019, 12:36: AM
answered-by-expert Expert Answer
 
Here,
d(common difference) = -20
No. of terms (n) = 7
S7 = 700
begin mathsize 16px style straight S subscript straight n space equals space straight n over 2 open square brackets 2 straight a space plus space open parentheses straight n space minus space 1 close parentheses straight d close square brackets rightwards double arrow straight S subscript 7 space equals space 7 over 2 open square brackets 2 space cross times space straight a space plus space open parentheses 7 space minus space 1 close parentheses left parenthesis negative 20 right parenthesis close square brackets rightwards double arrow 700 space equals 7 over 2 open square brackets 2 straight a space plus space open parentheses 7 space minus space 1 close parentheses left parenthesis negative 20 right parenthesis close square brackets rightwards double arrow 2 straight a space minus space 120 equals space 200 rightwards double arrow 2 straight a space equals space 320 rightwards double arrow straight a space space space equals space 160 Hence space the space value space of space each space of space the space prizes space will space be space 160 comma space 140 comma space 120 comma space 100 comma space 80 comma space 60 comma space 40. end style

 

Answered by Yasmeen Khan | 19 Jul, 2019, 10:31: AM

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