Okay, let me think this through step-by-step. I know $(()), let, and even the command substitution $(command) can be used. But I don't recall ever seeing the ${} syntax used for arithmetic evaluation. I'll go with that as the invalid option.
Ah, I remember learning about this in class. The $[] syntax is not a valid way to evaluate arithmetic expressions in Bash. I'm confident that's the correct answer.
I'm pretty sure the ${} option is not a valid way to evaluate arithmetic expressions in Bash. I'll focus on the other choices and try to eliminate the invalid ones.
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