Thursday, January 30, 2014

`ln1, ln2, ln3, ln4, ln5` Determine whether the sequence is arithmetic. If so, find the common difference.

No, this sequence `a_n=ln(n)` is not an arithmetic one because the difference between the adjacent terms is not a constant. For example,


`a_2-a_1=ln2-ln1=ln2`


but


`a_3-a_2=ln3-ln2=ln(3/2)!=ln(2).`

No, this sequence `a_n=ln(n)` is not an arithmetic one because the difference between the adjacent terms is not a constant. For example,


`a_2-a_1=ln2-ln1=ln2`


but


`a_3-a_2=ln3-ln2=ln(3/2)!=ln(2).`

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