Arithmetic Average vs$.$ Geometric Average

Suppose you invest $$1,000$ in an emerging ETF at the start of $2022.$ The ETF earned $100\%$ return in $2022,$ followed by a $50\%$ loss in $2023.$

Year Return Beginning Value$$ Ending Value

$2022100\%$ $$1,000?$

$2023-50\%??$

What is the average arithmetic return?$$

What is the average geometric return?

What is the ending value of your investment at the end of $2022?$ at the end of $2023?$

What is more appropriate when evaluating investment performance $-$ arithmetic average return or geometric average return? Why?