If the first term of geometric progression `g_1, g_2, g_3, ...` is unity, then the minimum value of `4g_2 + 5 g_3` is equal to

If the first term of a G.P.a_(1),a_(2),a_(3),.. is unity such that 4a_(2)+5a_(3) is least then the common ratio of G.P.is -2/5 b.-3/ c./5 d.none of these

If the first term of the G.P is unity,and value of 4a_(2)+5a_(3) is minimum then find the sum to infinite terms

If the first term of a G.P. a_(1),a_(2),a_(3) is unity such that 4a_(2)+5a_(3) is least, then the common ratio of the G.P. is

If G is the GM of the product of r sets of observations with geometric means G_(1), G_(2), …,G_(r) respectively, then G is equal to

If G is the GM of the product of r sets of observations with geometric means G_(1), G_(2), …,G_(r) respectively, then G is equal to

Between two positive real numbers a and b, one arithmetic mean A and three geometric means G_(1), G_(2), G_(3) are inserted. Find the value of ((a^(4) + b^(4)) + 4(G_(1)^(4) + G_(3)^(4)) + 6G_(2)^(4))/(A^(4))

The first term of an infinitely decreasing G.P.is unity and its sum is S .The sum of the squares of the terms of the progression is

If g_(1) , g_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

The first term of a G.P. is 3 and the common ratio is 2. Then the sum of first eight terms of the G.P. is