Find the value of x for which x+9, x-6 and 4 are three consecutive terms of a G.P.

Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of an A.P.

Find the value of x Equation is x+2=9

If 1/(x+y),1/(2y),1/(y+z) are three consecutive terms of an A.P., prove that x, y, z are three consecutive terms of a G.P.

If a, b and c are three consecutive terms of an A.P.,prove that k^a, k^b and k^c are three consecutive terms of a G.P. Assume k to be a non-zero real number.

The sum of three numbers which are consecutive terms of an A.P. is 21. If the second number is reduced by 1 and the third is increased by 1, we obtain three consecutive terms of a G.P. Find the numbers.

Determine k so that : 8k + 4, 6k-2, 2k-7, are the three consecutive terms of an A.P.

If the mth, nth and pth terms of a G.P. form three consecutive terms of a geometric sequence, prove that m, n and p form three consecutive terms of an arithmetic sequence.

Find the value of x in the following 27^x=9/3^x

Find the values of x for which the function f(x) = x^2 - 6x + 9 is increasing or decreasing.