FALSE (Apex)
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
Ratio
It is 4374
They are 14, 42, 126, 378 and 1134.
Un = 4*3n-1 S9 = 39364
No, they do not. If the first term is negative, they always decrease.
yes
Yes, that's what a geometric sequence is about.
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
A static sequence: for example a geometric sequence with common ratio = 1.
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
Ratio
It is 4374
The terms are: 4, 8 and 16
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...
They are 14, 42, 126, 378 and 1134.