Sequence and series

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Across
  1. 4. A sequence where the difference between consecutive terms is constant (same as arithmetic sequence).
  2. 5. The square root of the product of two numbers in a geometric sequence.
  3. 8. A sequence in which the reciprocals of the terms form an arithmetic sequence (same as harmonic sequence).
  4. 9. The formula used to find the sum of the first n terms of a sequence.
  5. 10. A series that involves binomial coefficients.
  6. 13. A series used to represent functions, calculated using derivatives.
  7. 15. A series where the terms involve powers of a variable.
  8. 16. A series that does not approach a finite limit.
  9. 18. The formula that gives the nth term of a sequence.
  10. 22. The ratio between consecutive terms in a geometric sequence.
  11. 25. A series that has an infinite number of terms.
  12. 27. A sequence where the reciprocals of the terms form an arithmetic progression.
  13. 28. The difference between any two consecutive terms in an arithmetic sequence.
  14. 29. A specific Taylor series centered at zero.
Down
  1. 1. The average of two numbers in an arithmetic sequence.
  2. 2. The reciprocal of the arithmetic mean of the reciprocals of two numbers.
  3. 3. The sum of a specified number of terms of a sequence.
  4. 6. A series with a finite number of terms.
  5. 7. A sequence in which the difference between consecutive terms is constant.
  6. 9. The sum of the infinite terms of a convergent series.
  7. 11. A formula that defines the nth term of a sequence as a function of n.
  8. 12. The variable used to denote the terms being summed in a series.
  9. 14. The expansion of a function or a sequence into a series.
  10. 17. A notation used to represent the sum of a sequence of terms.
  11. 19. A famous sequence where each number is the sum of the two preceding ones.
  12. 20. A sequence where each term after the first is found by multiplying the previous one by a constant (same as geometric sequence).
  13. 21. A series whose terms approach a finite limit.
  14. 23. A formula that defines each term of a sequence using the preceding terms.
  15. 24. A sequence in which each term is found by multiplying the previous term by a constant.
  16. 26. The term at position 'n' in a sequence.