madeline2289 madeline2289
  • 09-02-2020
  • Mathematics
contestada

what is the recursive definition and explicit formula of the sequence 3, 5.5, 8, 10.5, 13, 15.5? I know the pattern is +2.5 ​

Respuesta :

jimrgrant1 jimrgrant1
  • 09-02-2020

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2.5

Step-by-step explanation:

This is an arithmetic sequence with common difference d = 2.5

The recursive formula allows any term in the sequence to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2.5 ← recursive formula with a₁ = 3

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