Geometric Progression (G.P.)

Definition of Geometric Progression & n^th term of a G.P.

Obtain the required terms of the following sequence:

(1) 2, 4, 8, 16,… 12^th term (2) 0.5, 0.25, 0.125, … 10^th term (3) 5, 10, 20, 40, … 30^th term (4) 6, 12, 24, 48, … 15^th term

Which term of the G.P. 2, 2√2 , 4, … is 64?

The first term of a G.P. is 50 and 4^th term is 1350. Determine its 5^th term.

The 7^th term of a G.P. is 8 times the 4^th term. Find the G.P. when the 5^th term is 48.

Prove that 1/3125 is a term of the series 25, 5, 1, …

If x, y, z are the p^th, q^th and r^th terms of a G.P. .Then prove that x^q-r y^r-p z^p-q = 1

The 5th term of a G.P. is ‘a’, its 15th term is ‘b’ and 10th term is ‘c’. Prove that ab=c²

How to assume unknown terms of a G.P.

The sum of four numbers in G.P. is 60 and the A.M. (arithmetic mean) between the first and the last term is 18. Find the numbers.