0
What is the sequence if the sum of the first 10 terms is the same as the 58th term?
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)
What else can I help you with?
What is the type of sequence where the terms in the sequence are found by adding the same number each time?
That's an arithmetic sequence.
What is the definiton of a sequence in which the difference between any two consecutive terms is the same?
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
What is a sequence whose terms differ by the same nonzero number d called thecommon difference?
An arithmetic sequence.
How do you determine if a sequence is arithmetic?
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
What sequence is formed from difference of differences between terms of a sequence?
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
A sequence in which the terms change by the same amount each time?
Arithmetic Sequence
In what sequence are all of the terms the same?
A static sequence: for example a geometric sequence with common ratio = 1.
What is the type of sequence where the terms in the sequence are found by adding the same number each time?
That's an arithmetic sequence.
What is the definiton of a sequence in which the difference between any two consecutive terms is the same?
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
A sequence in which the difference between any two consecutive terms is the same?
arithmetic sequence this is wrong
What is a sequence whose terms differ by the same nonzero number d called thecommon difference?
An arithmetic sequence.
How do you determine if a sequence is arithmetic?
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
What kind of sequence is the difference between every pair of consecutive terms in the sequence is the same?
in math ,algebra, arithmetic
What sequence is formed from difference of differences between terms of a sequence?
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
What is it called when a sequence of numbers in which the difference between any two consecutive terms is the same?
A sequence of numbers in which the difference between any two consecutive terms is the same is called an arithmetic sequence or arithmetic progression. For example, in the sequence 2, 5, 8, 11, the common difference is 3. This consistent difference allows for predictable patterns and calculations within the sequence.
What is a sequence whose successive terms differ by the same nonzero number d called the common difference?
It's technically called an arithmetic sequence
What are maths sequences?
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
