Algebraic topics advanced

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Across
  1. 3. of a real positive number b at the base of a can be defined as the real number x in which a should be raised in order to give b
  2. 6. a line that the curve approaches but does not cross
  3. 8. a number where its square is −1:
  4. 9. Division by zero is mathematically
Down
  1. 1. a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio
  2. 2. always the base of the logarithm is
  3. 4. a rectangular array of numbers
  4. 5. sequence of numbers such that the difference between the consecutive terms is constant
  5. 7. a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output
  6. 10. The individual items in a matrix