Swati Lathia

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Geometric Progression (G.P.)

Definition of Geometric Progression & nth term of a G.P.

Obtain the required terms of the following sequence:

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

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

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

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

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

If x, y, z are the pth, qth and rth terms of a G.P. .Then prove that xq-r yr-p zp-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.

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