Geometric Progression (G.P)

Geometric Progression (G.P)

A sequence in which each term is obtained from the proceeding term by multiplying or dividing by a constant factor is called the G.P

Examples: 16, 8, 4, 2, 1 & 1, 3, 9, 27, 81

Nth term of a G.P

If the first term of a G.P is a and the common ratio r.  Then the first three terms are U₁= a, U₂= ar and U₃ = ar².  In general

Example: Find (a) the 8^th (b) 34^th and (c) nth term of the G.P 10, 20, 40, 80

2. if the first, second and last term of a G.P are 41, -20 and 12500 respectively.  Find the number of terms in the G.P.

Solution