The need to take larger and larger doses of a drug in order to experience its effects is an indication of

The need to take larger doses of a drug in order to experience its effects is an indication of drug tolerance.

Explanation:

Tolerance is the physical process in which the body adapts to the exposure and the effects of a substance, therefore, there is a diminshed response to it and a need for a higher dosis of such substance to provoke the same effects. Although tolerance is not necessarily a sign of addiction it is a sign of a repeated use of a drug.

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