Sorry, no online dictionaries contain the exact phrase multi-dimensional arithmetic progression.

Reverse dictionary results:
1. harmonic progression
2. harmonic
3. multiple
4. manifold
5. layered
6. dimensional
7. algebra
8. math
9. plus
10. simple
11. equidifferent
12. faculty
13. degree
14. advanced
15. algorithm
16. badge
17. betterment
18. binomial theorem
19. braking
20. calculus
21. cantilena
22. clack
23. clack valve
24. clapper valve
25. correction
26. courante
27. deduce
28. derivative
29. derived function
30. descent
31. develop
32. differential
33. differential coefficient
34. differentiation
35. diphthongise
36. diphthongize
37. egg
38. egging
39. eggs
40. elaborate

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You can look up the words in the phrase individually using these links:   multi-dimensional ?   arithmetic ?   progression ?
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