# Geometric progression

Published on July 10, 2014

Author: burgesss87

Source: authorstream.com

Geometric Progression: Geometric Progression Basic Mathematics concepts – Helpful to understand math algebra 1 homework problems Geometric Progression: Geometric Progression A geometric progression : it is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. A geometric progression, also known as a geometric sequence Example : 3, 6, 12, 24, … Geometric series : It is the sum of the numbers in a geometric progression. Example : 3+ 6+ 12+ 24+ … The nth term of a geometric sequence /Series: The n th term of a geometric sequence /Series a, ar , ar 2 , ar 3 …. Is geometric sequence with a common ratio r. Then n th term a n = a*r (n-1) Where a n -n th term in the sequence a- First term in the sequence r- common ratio n- Number of terms in the sequence Sum of n terms in the sequence: Sum of n terms in the sequence a, ar , ar 2 , ar 3 …. Is geometric sequence with a common ratio r. Then sum of the terms in the sequence S n =a(1- r n )/(1-r) if r < 1 S n =a( r n -1 )/(r-1) if r > 1 Where S n - Sum of n terms in the sequence a- First term in the sequence r- common ratio n- Number of terms in the sequence For an Infinite series S n =a/(1-r) if r < 1 S n =a/(r-1) if r > 1 Example: Example Find the 5 th term and Sum of 5 terms in the following series 2+4+8+16+? In the above problem a=2, r=2, n=5 n th term a n = a*r (n-1) =2*2 4 =32 Sum S n =a( r n -1 )/(r-1) = 2*(31)/(2-1)=62 Simple math’s concepts which are very helpful to solve algebra 1 homework problems

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