The answer will depend on what you mean by DO. An arithmetic sequence depends on two numbers: the seed, a, and the difference, d.
The first number in the sequence is the seed and each number is obtained from the previous one by adding the difference.
So U1 = a
U2 = a + d
U3 = U2 + d = a + d + d = a + 2d
U4 = U3 + d = a + 2d + d = a + 3d
and so on.
In general, Un = a + (n - 1)*d
They correspond to linear sequences.
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
because starwars is awesome
No, but they are examples of linear functions.
sum(1/(n^2+1))
Exponentail functions
how are arithmetic and geometric sequences similar
They correspond to linear sequences.
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
Yes.
because starwars is awesome
No, but they are examples of linear functions.
None. There are relations to power sequences, though.
Nice teaching tool to keep your mind active.
sum(1/(n^2+1))
An arithmetic-geometric mean is a mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms.
Arithmetic sequences are used by people in everyday life for things like planning a budget or making a plan to pay off a mortgage or college loan. They can also be used for simple things such as keeping your daily schedule straight.