The general (or nth) term is given by the equation
t(n) = a + (n-1)d
where
a is the first term
and
d is the common difference between successive terms.
an = a1 + d(n - 1)
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
The nth term of an arithmetic sequence = a + [(n - 1) X d]
An arithmetic sequence
Arithmetic Sequence
an = a1 + d(n - 1)
The 90th term of the arithmetic sequence is 461
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
The nth term of an arithmetic sequence = a + [(n - 1) X d]
An arithmetic sequence
Arithmetic Sequence
You need an equation for the nth term of the sequence, or some other means of identifying the sequence. In general, they will be a+n, a+2n, a+3n and a+4n although some go for a, a+n, a+2n and a+3n.
Arithmetic- the number increases by 10 every term.
One number, such as 7101316 does not define a sequence.
The one number, 491419 does not constitute a sequence!
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, the sequence 2, 5, 8, 11, 14 has a common difference of 3. Another example is 10, 7, 4, 1, which has a common difference of -3. In general, an arithmetic sequence can be expressed as (a_n = a_1 + (n-1)d), where (a_1) is the first term and (d) is the common difference.
A non-example of an arithmetic sequence is the series of numbers 2, 4, 8, 16, which is a geometric sequence. In this sequence, each term is multiplied by 2 to get to the next term, rather than adding a fixed number. Therefore, it does not have a constant difference between consecutive terms, which is a defining characteristic of an arithmetic sequence.