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.
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No, but they are examples of linear functions.
sum(1/(n^2+1))
Exponentail functions
They correspond to linear sequences.
how are arithmetic and geometric sequences similar
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
Yes.
No, but they are examples of linear functions.
because starwars is awesome
Nice teaching tool to keep your mind active.
sum(1/(n^2+1))
None. There are relations to power sequences, though.
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.
The following formula generalizes this pattern and can be used to find ANY term in an arithmetic sequence. a'n = a'1+ (n-1)d.