Where does the term fan come from?
Where does the term fan service come from?
Fan Service (s ァ ン サ ー ビ ス Fan sābisu?), Fan Service or Service Cut (サ ー ビ ス カ ā sābisu katto?),   is a term from the anime and manga fandom for material in a row that was purposely added to please the audience.  The point is to "maintain" the fan  - to "give the fans exactly what they want".  Fan service usually refers to "gratuitous arousal" but can also include intertextual references to other series - Wikipedia
That almost describes the fan service ... and to answer your question
Keith Russell sees the beginning of fan service as a permissive context in which "kids are just kidding," which, in his opinion, allowed the writers some leeway on their subject matter. 
Starting with Cutey Honey in the 1970s and later with other magical girl shows, fan service became riskier. In the 1980s, full frontal nude and shower scenes became standard content for fan service.   Later, Hideaki Anno, who had promised Neon Genesis Evangelion "every episode ... something to drool over", began removing fan service images in later episodes. These later episodes, which included fan-service elements, juxtaposed them with images of the character in some sort of emotional trauma. Since then, fan service has rarely featured full nudity. 
Excessive content is usually considered unfounded today, regardless of its justification in relation to the narrative in which it takes place.
Creation of the fan service
a / o September 26, 2003 ...
The term "fan service" goes back at least to the late 1980s. However, Dirty Pair was created in 1985 and clearly had fan service in mind, even if they didn't specifically use the term at the time. The term "Gainax Bounce" has been around since her title Top wo Nerae! Referred to as fan service. came out in 1988 (1). Gainax's anime parody of her own rise called 1982 Otaku no Video and 1985 Otaku no Video refers to fan service (2).
The first use of "Fan Service" on Usenet in relation to its current importance was in 1994 by Hitoshi Doi (3).The term "fan service" was first used on Usenet in 1991 by Tonghyun Kim and has a different context (3).(Emphasis added by me)
When Gainax released Shin Seiki Evangelion in 1995, the term "fan service" was known. This explains why Misato often asked for or promised more "service" in the previews for the next episode. - Source
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