If the first 3 consecutive terms of a geometrical progression are the real roots of the equation `2x^3 - 19x^2 +57x - 54=0` find the sum to infinite number of terms of G.P.

Find x so that x, x+2,x+6 are consecutive terms of a geometric progression.

Find x so that x, x+2,x+6 are consecutive terms of a geometric progression.

Find x so that x, x+2,x+6 are consecutive terms of a geometric progression.

Find x so that x, x+2,x+6 are consecutive terms of a geometric progression.

Find x so that x, x+2, x+6 are consecutive terms of a geometric progression.

Find x so that x,x+4 and x+12 are consecutive terms of a geometric progression.

The first and last term of a geometrical Pregression (G.P.) are 3 and 96 respectively. If the common ratio is 2, find : (i) 'n' the number of terms of the G.P. (ii) Sum of the n terms.

If 3x -4, x +4 and 5x +8 are the three positive consecutive terms of a geometric progression, then find the terms.

The sum of the terms of an infinite geometric progression is 3 and the sum of the squares of the terms is 81. Find the first term of the series.