# What is a word that means "starting from one"?

I'm looking for an adjective that means "to start from the number one."

This is so I can describe a sequence that starts from the number one. I want to be able to say something like "Choose any [adj] sequence" where [adj] is the adjective in this question.

I know there aren't always words that exist for every combination of words, but can anyone think of a word that might work for this?

• At first I thought of a "positive" sequence of integers, but that doesn't necessarily start at 1. Do you mean in particular the sequences (1, 2, 3 ... n) where n is a positive integer? Or any old sequence that starts with 1? (In which latter case (1, -1, -3 ...) is valid.) Jan 26, 2014 at 2:19
• I'm using the mathematical definition of a sequence so (1, 2, 3, ..., n) where n is a positive integer, (1, 3, 4), and (1, -2, -5) are all valid. Jan 26, 2014 at 3:14
• In that case, I might say "starts with the number one" instead of "from the number one". Jan 26, 2014 at 4:53
• Since the numbers in a sequence are all in an order, I think "starts from the number one" makes sense. Jan 27, 2014 at 5:50
• Adam, out of curiosity, is there a name for the sequences (1, 2, 3, ..., n) where n is a positive integer? Jan 27, 2014 at 6:11

Given your clarification above, I don't believe that there is a single word to convey the property of beginning with 1 in such a general sense.

In a math context I would use "Choose any natural sequence having 1 as its first element" or "Choose any natural sequence that starts with 1."

Of course if this is a mathematics paper or assignment, it is perfectly acceptable to define a new term. Eg.: "Definition. A sequence of natural numbers is said to be one-grounded if it begins with 1." After which you can use the new term without fear of ambiguity.

A numbering or indexing system that starts from 1 is said to be one-based. By contrast, most of the widely used programming languages are zero-based.