consecutive (adj.)youdaoicibaDictYouDict[consecutive 词源字典]
1610s, from French consécutif (16c.), from Medieval Latin consecutivus, from Latin consecutus "following closely," past participle of consequi (see consequence). Related: Consecutively.[consecutive etymology, consecutive origin, 英语词源]
series (n.)youdaoicibaDictYouDict
1610s, "a number or set of things of one kind arranged in a line," from Latin series "row, chain, series, sequence, succession," from serere "to join, link, bind together, arrange, attach, put; join in speech, discuss," from PIE root *ser- (3) "to line up, join" (cognates: Sanskrit sarat- "thread," Greek eirein "to fasten together in rows," Gothic sarwa (plural) "armor, arms," Old Norse sörve "necklace of stringed pearls," Old Irish sernaid "he joins together," Welsh ystret "row").

Meaning "set of printed works published consecutively" is from 1711. Meaning "set of radio or television programs with the same characters and themes" is attested from 1949. Baseball sense "set of games on consecutive days between the same teams" is from 1862.
three-peatyoudaoicibaDictYouDict
"Win a particular sporting championship three times, especially consecutively", 1980s: from three + a shortened form of repeat.