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
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They correspond to linear sequences.
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
No, but they are examples of linear functions.
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sum(1/(n^2+1))