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A variant using Take.
Take
Take[list, #]list~Take~# & /@ Range@Length@list
{{a}, {a, b}, {a, b, c}, {a, b, c, d}}
One using NestList:
NestList
NestList[Most, list, Length@list - 1]
{{a, b, c, d}, {a, b, c}, {a, b}, {a}}
Take[list, #] & /@ Range@Length@list
list~Take~# & /@ Range@Length@list
