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

Question

Philoid · Accepted Answer

Here; d = 20 n = 7 and S_n = 700

Now,

700 = 7(a + 60)

100 = a + 60

a= 40

Hence, the prizes in ascending order are:

Rs. 40, Rs. 60, Rs. 80, Rs. 100, Rs. 120, Rs. 140 and Rs. 160