'consistently-increasing' is a compound word formed from 'consistent' and 'increasing'. 'Consistent' originates from Latin, specifically the word 'consistere', where 'con-' meant 'together' and 'sistere' meant 'to stand'. 'Increasing' comes from Latin 'increscere', where 'in-' meant 'into' and 'crescere' meant 'to grow'.

'Consistere' transformed into the Old French word 'consister', and eventually became the modern English word 'consistent'. 'Increscere' transformed into the Old French word 'crescere', and eventually became the modern English word 'increase'.

Initially, 'consistent' meant 'standing together', but over time it evolved into its current meaning of 'unchanging'. 'Increasing' has largely retained its original meaning of 'growing'.