The 4th, 5th, 6th,and 7th terms of the sequence an = n²/{n+1} are 16/5, 25/6, 36/7, and 49/8 respectively.
According to the given question.
We have,
A formual for finding the gereral term of the sequence i.e.
an = n²/{n+1}.
Since, we have to find the 4th, 5th, 6th, and 7th term of the sequence.
Therefore,
4th term of the sequence is given by
[tex]a_{4}[/tex] = (4)^2/{4 + 1) = 16/5
5th term of the sequence is given by
[tex]a_{5}[/tex] = (5)^2/{5 + 1} = 25/6
6th term of the sequence is given by
[tex]a_{6}[/tex] = 6^2/{6 + 1} = 36/7
7th term of the sequence is given by
[tex]a_{7}[/tex] = 7^2/{7 + 1} = 49/8
Hence, the 4th, 5th, 6th,and 7th terms of the sequence an = n²/{n+1} are 16/5, 25/6, 36/7, and 49/8 respectively.
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