Five numbers are in A.P whose sum is 25 and product is 2520 if one of these five numbers is -12  then the greatest number amongst them is

Let the five terms a−2d,a−d,a,a+d,a+2dSUM=5a=25→a=5 PRODUCT =25−4d225−d2=504→d=±1,d=±112 If d=±1 does not give −12 as a term ∴d=112 Largest term is 5+2d=5+11=16