The best replacement for sequence is series.

The best alternatives to sequence are rated as following:
★★★★★  series
★★★  syndrome
★  geometric sequence
★  scene
★  activity diagram
★  progression
★  identity
★  order
★  chronological organizational pattern
★  chronological
★  sequins
★  pattern
★  frequency hopping
★  chronological order
  collaboration diagrams
  collaboration diagram
  arithmetic sequence
  communication diagram
  other logical order
  geometric
  sequin
  consensus sequence
  collaboration
  golden ratio
  kozak sequence
  protein sequence
  phase rotation
  glide
  pn sequence
  chronological sequence
  auto increment
  sequel

Your alternative for sequence is not listed? Suggest!
Speaking about sequence, one probably shouldn't forget about common difference.

Other search terms related to sequence and their ratings are:
★★★★★ common difference
★★ nth term
★ angie stone
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Google Trends

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sequence
series
syndrome