Crossword Math Puzzle

1234567891011121314151617181920
Across
  1. 2. put simply, the difference between two numbers in an arithmetic sequence
  2. 8. The series tends towards the limit
  3. 9. The center of a geometric progression
  4. 11. the point at which a sequence cannot reach
  5. 13. a sequence that is not finite
  6. 14. A sequence obtained by multiplying the difference between the current and previous number
  7. 19. by proving two mathematical cases are true and therefore proving them both if so
  8. 20. a series derived from an exponent
Down
  1. 1. The series tends away from the limit
  2. 3. a sequence in which the two preceding numbers are added together to produce the next
  3. 4. a method of reducing the tedious work of expanding binomials and shortcuts them in a similar way to the FOIL method
  4. 5. Figures out if the sequence is diverging or converging
  5. 6. A sequence of numbers in which the current value differs from the one before it at a constant rate
  6. 7. Each series can be obtained by multiplying the previous by 0.5
  7. 10. A sequence of numbers in which the difference between the current and next number is always constant
  8. 12. The letter used for this is Sigma and is sometimes called Sigma Notation
  9. 15. Coined because of their similarities and comparisons within nature, they produce very natural and intrinsically beautiful sequences and series
  10. 16. If the limit of a series does not exist and therefore is not converging or diverging
  11. 17. The average of any numbered set of values formulated by adding the values and then dividing by the number of values
  12. 18. For a geometric sequence or series, it is the constant ratio for any given number in the sequence and the one preceding it.