Answer:
Explanation:
A geometric sequence is a sequence in which the next term is gotten from the previous term by multiplication by a constant. The series is an addition of the terms in the sequence.
E.g (i) 2,4,8,16… (ii)9,3, 1/3, 1/9,…
In example (I) the constant is 2 while in example (ii) the constant is 1/3.
This constant is referred to as the common ratio r.
To add the terms in a Geometric Series, if the common ratio r is greater than 1, we use
[TeX]S=a(r^n-1)/(r-1)[/TeX]
And if it is less than 1
[TeX]S=a(1-r^n )/(1-r)[/TeX]
Where a= the first term, n= number of term to be added and r= the common ratio.
This can be applied to any given geometric series to arrange it in ascending or descending order by its sum.