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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=c^{2}

## 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.

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