Question

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

Answer 1

Answer:

Given problem can be solved using A.P.

From given data:

d=20,n=7,Sn=700

We know,

S

n

=

2

n

[2a+(n−1)d]

S

7

=

2

7

(2a+20×6)=700

⇒7a+420=700

⇒a=280÷7=40

So, The AP :

40,(40+20×1),(40+20×2),(40+20×3),(40+20×4),(40+20×5),(40+20×6)

i.e. 40,60,80,100,120,140,160 are the value of each prizes