Question

Please help me on 3 I don’t know what I did wrong

Answer 1

We can rewrite the given values as

`\begin{gathered} \ln (2)=\ln (2^1)=1*\ln (2) \\ \ln (4)=\ln (2^2)=2*\ln (2) \\ \ln (8)=\ln (2^3)=3*\ln (2) \\ \ln (16)=\ln (2^4)=4*\ln (2) \end{gathered}`

Then, the common difference is ln(2). For instance,

`\ln (2)-\ln (4)=1*\ln (2)-2*\ln (2)=-\ln (2)`

Therefore, the answer is: Yes, the sequence is arithmetic with common difference d:

`d=-\ln (2)`