## Bharat Gupta is teaching live on Unacademy Plus

SEQUENCE AND SERIES Class -(6 (Geometric Proqression)

GEOMETRIC PROGRESSION A sequence (finite or infinite) of non-zero numbers in which every term, except the first one, bears a constant ratio with its preceding term, is called a geometric progression, abbreviated as G.P. The constant ratio is usually denoted by r and is called the common ratio of the G.P. i Binee

nth term of an Geometric Progression 2 a n-l Point to remember 1. If a is the first term and r is the common ratio of a G. ., then the G.P. can be written as n-I a,ar, ar , or?- - , OT , -- . (ato)

Point to remember 2. Choosing number in G.P. 2 3. Three number a, b and c are in G.P. if 2 b ac

Sum of n term of an Geometric Progression RY3tJuw.za rah. ONwo n ,

Sum of infinite term of an Geometric Progression =

Properties of Geometric Progression av LA @g- or," an

Properties of Geometric Progression on bi

Properties of Geometric Progression bath endo a, a a a as ag lor e na, 9, 16, 32, 6, 128

Properties of Geometric Progression

If 5th and 8th terms of a G.P. are 32 and 256 respectively, then the 4th term of the G.P. is (a) 8 (b) 12 (c) 16 (d) 20 and Com non s = are =32 - dvide aru32 Tu= a.rs 2

The 3rd term of a G. P. is the square of the first term. If the second term is 8, then the 6th term is (a) 128(b) 64 (c) 32 (d) none of these. T. 2 T. -r ~2- 2 128