late 15c., "prompt to serve, meekly compliant with the will or wishes of another, dutiful," from Latin obsequiosus "compliant, obedient," from obsequium "compliance, dutiful service," from obsequi "to accommodate oneself to the will of another," from ob "after" (see ob-) + sequi "to follow" (from PIE root *sekw- (1) "to follow"). Pejorative sense of "fawning, sycophantic, unduly compliant" had emerged by 1590s. Related: Obsequiously; obsequiousness (mid-15c.).