Answer:
see explanation
Step-by-step explanation:
We note that for each term, the numerator increases by 1 and the denominator increases by 1 from the previous term, that is
term 1 = [tex]\frac{1+1}{1+2}[/tex] = [tex]\frac{2}{3}[/tex]
term 2 = [tex]\frac{2+1}{2+2}[/tex] = [tex]\frac{3}{4}[/tex]
term 3 = [tex]\frac{3+1}{3+2}[/tex] = [tex]\frac{4}{5}[/tex]
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term 100 = [tex]\frac{100+1}{100+2}[/tex] = [tex]\frac{101}{102}[/tex]
If we let n be the term value, then the n th term is
[tex]a_{n}[/tex] = [tex]\frac{n+1}{n+2}[/tex]
