f(x)+ 2x, where x is an integer. If we arrange the values f(x) for x= 25,24,23,.....(continuously decreasing value of x), we get an arithmetic progression whose first term is 50. Find the maximum value of the sum of all the terms of A.P.
f(x)+ 2x, where x is an integer. If we arrange the values f(x) for x= 25,24,23,.....(continuously decreasing value of x), we get an arithmetic progression whose first term is 50. Find the maximum value of the sum of all the terms of A.P.
i think you mean f(x)=2x
Identify all values of x which makes f(x) positive , ie 25 ,... ,1 since f(0)=0 and f(-1)=-2 ,f(x) will be -ve since then.
f(25)=50 , f(1)=2
This AP has first term 50 and last term 2 with common difference -2 ,evaluate the sum then