m1ikaSa8ucemberlemoo
m1ikaSa8ucemberlemoo m1ikaSa8ucemberlemoo
  • 14-10-2016
  • Mathematics
contestada

How can you represent the terms of a sequence explicitly? How can you represent them recursively? Provide mathematical examples to support your opinions.

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carlca107
carlca107 carlca107
  • 14-10-2016
1/Explicitly: with a formula that contains and uses n, the term number. 
Example. The sequence 9, 12, 15, 18.......... can be represented by the formula an = 3n + 6. 
2/Recursively: with a formula containing and using a(n-1), the previous term. 
Example: 9, 12, 15, 18...........can be represented by the formula an = a(n-1)+3. The first term (a1) needs to be specified (a1 = 9)

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