There are many sequences with this property: The sequence with every term equal to 0 has this property. In fact the sequence can be anything you like as long you make sure the 58th term is the sum of the first 10 terms.
A more specific case:
If you are dealing with an arithmetic sequence, i.e. a sequence of the form s(n)=a+bn for constants a and b, we can derive a relationship between a and b:
s(1)+s(2)+...+s(10)=10a+55b
and
s(58)=a+58b
From this, it follows that if s(1)+s(2)+...+s(10)=s(58), then we have 10a+55b=a+58b, which implies that 3a=b. Again, there are infinitely many sequences with this property, but if it is an arithmetic sequence, it will be of the general form s(n)=a+3an=a(3n+1)
That's an arithmetic sequence.
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
An arithmetic sequence.
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
Arithmetic Sequence
A static sequence: for example a geometric sequence with common ratio = 1.
That's an arithmetic sequence.
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
arithmetic sequence this is wrong
in math ,algebra, arithmetic
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
An arithmetic sequence.
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
It's technically called an arithmetic sequence
not "maths sequences" it's "mathematical sequence" In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements or terms), and the number of terms (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and the exact same elements can appear multiple times at different positions in the sequence
That is called an arithmetic sequence. For example: 8, 15, 22, 29, 36, 43, 50, 57, etc.