[table][tr][td][math]7.9x[/math][/td][td][/td][td][math]7.9+x[/math][/td][/tr][tr][td][/td][td][/td][td][/td][/tr][tr][td][math]7.9\cdot(-10)[/math][/td][td][/td][td][math]-79[/math][/td][/tr][/table]

A sequence of rational numbers is made by starting with 1, and from then on, each term is one more than the reciprocal of the previous term. Evaluate the first few expressions in the sequence. Can you find any patterns? Find the 10th term in this sequence.[br][br][math]1[/math]  [math]1+\frac{1}{1}[/math]  [math]1+\frac{1}{1+1}[/math]  [math]1+\frac{1}{1+\frac{1}{1+1}}[/math]  [math]1+\frac{1}{1+\frac{1}{1+\frac{1}{1+1}}}[/math] ...