Express 203 as a sum of four terms which are in a Geometric Progression. Then what is the common ratio ?
Hence, there by arrive at a common formula for deriving four numbers which are in a G.P.
How does factoring of 203 helps here ? Also, the four numbers are integers...but not necessarily the case with the common ratio !!
203 = 7 * 29 = (5 + 2) * (25 + 4) that is (5 + 2) ( (5^2) + (2^2) )...there by leading to a G.P. with 4 terms ... which are ... and the common ratio is ____. So the generic formula to arrive at such four terms is (a+b) (a^2 + >! b^2)... which gives four terms which are in a G.P. with a common ratio of a/b >! (assuming a > b )