`2/3,3/4,4/5,5/6,...` Write an expression for the n'th term of the sequence. (There is more than one correct answer.)

Expert Answers

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Given the sequence 2/3, 3/4, 4/5, 5/6, ...

 

An expression for the nth term of the sequence is 

`a_n=(n+1)/(n+2)`  when n starts with 1.

`a_1=(1+1)/(1+2)=2/3` 

`a_2=(2+1)/(2+2)=3/4` 

`a_3=(3+1)/(3+2)=4/5` 

`a_4=(4+1)/(4+2)=5/6`

 

Final Answer: The expression for the nth term of is `a_n=(n+1)/(n+2)`

when n starts with 1.

 

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