The expression can be used to describe the sequence 0,1,2,3,... where n will represent the position of a term in the sequence where n = 1 is for the first term.
The given sequence is 0, 1, 2, 3, .......
We will use n to represent the position of a term such that n = 1 for the first term, n = 2 for the second term, n= 3 for the third term, and n = 3 for the third term in the given sequence.
What is an arithmetic sequence?
It is a sequence of numbers where the difference between the consecutive terms is same.
The nth term in an arithmetic sequence is given by:
.
The given sequence 0, 1, 2, 3, ...... is an arithmetic sequence.
d = 1 - 0 = 1
d = 2 - 1 = 1
d = 3 - 2 = 1
The difference between the consecutive terms is the same.
In the sequence 0, 1, 2, 3, ......
If we use the arithmetic sequence nth term formula
we get,
Thus the expression can be used to describe the sequence 0,1,2,3,... where n will represent the position of a term in the sequence where n = 1 is for the first term.
Or we can simply say since .
Learn more about arithmetic sequence here:
brainly.com/question/16415816
#SPJ1