Question

the sum of rupees 1600 is to be used to give an 10 cash prizes to students of a school of the overall academic performance if each prize is rupees 20 less than its preceding prize find the value of each of the prizes

Answer 1

sn= n/2(2a+(n-1)d)
1600= 10/2(2a+(10-1)20
1600= 5(2a+180)
1600= 10a+ 180
1600-180=10a
1420=10a
1420/10= a
a= 142
each price add 20
like:- 142, 162,182,202,222,242,262,282,302,322
i hope it helps you