Probably, depending on the definition being used.
In general, a geometric sequence to be one of the form ##a_n = a_0r^n## where ##a_0## is the initial term and ##r## is the common ratio between terms.
In some definitions of a geometric sequence (for example, at the encyclopedia of mathematics) we add a further restriction, dictating that ##r!=0## and ##r!=1##.
By those definitions, a sequence such as ##1, 0, 0, 0, …## would not be geometric, as it has a common ratio of ##0##.
There is one more detail to consider, though. In the given sequence of ##0, 0, 0, …##, we have ##a_0 = 0##. In no definition that I have found is there any restriction on ##a_0##, and with ##a_0=0##, the given sequence could have any common ratio. For example, if we took ##r = 1/2## the sequence would look like
##a_n = 0*(1/2)^n = 0##
which does not contradict the definition (note that the definition does not require ##r## to be unique).
So, depending on the definition, ##0, 0, 0, …## would probably be considered a geometric sequence.
Still, whether ##0, 0, 0, …## is a geometric sequence or not is likely of little consequence, as the properties and behavior of the sequence are obvious without any further classification.
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.