## Algebra and Trigonometry 10th Edition

It is an arithmetic sequence. $d=\ln2$
A sequence is arithmetic if $a_2−a_1=a_3−a_2=a_4−a_3=a_5−a_4=...=d$ For the given sequence we have that: $a_2-a_1=\ln2-\ln1=\ln(\frac{2}{1})=\ln2$ $a_3-a_2=\ln4-\ln2=\ln(\frac{4}{2})=\ln2$ $a_4-a_3=\ln8-\ln4=\ln(\frac{8}{4})=\ln2$ $a_5-a_4=\ln16-\ln8=\ln(\frac{16}{8})=\ln2$ It is an arithmetic sequence. Common difference: $d=\ln2$