Express each term of the sequence [tex]\{\sqrt{2}, \sqrt{2\sqrt{2}}, \sqrt{2\sqrt{2\sqrt{2}}}, ...\}[/tex] as a power of 2.(adsbygoogle = window.adsbygoogle || []).push({});

I found [itex]\{2^{\frac{1}{2}}, 2^{\frac{3}{4}}, 2^{\frac{7}{8}}, ...\}[/itex] but I can't get the formula for it so I can find it's limit.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Sequence based on sequential square root function

**Physics Forums | Science Articles, Homework Help, Discussion**