ultraviolate6897 ultraviolate6897
  • 25-05-2020
  • Mathematics
contestada

Which recursive formula defines this sequence for n > 1?


3, 6, 9, 12, 15, 18, ...


Question 4 options:


an=3an−1


an=an−1+3


an=13an−1


an=an−1−3

Respuesta :

Newton9022 Newton9022
  • 26-05-2020

Answer:

(B)[tex]a_n=a_{n-1}+3[/tex]

Step-by-step explanation:

Given the sequence: 3, 6, 9, 12, 15, 18, ...

6=3+3

9=6+3

12=9+3

If we continue in like manner, we notice that the nth term ([tex]a_n[/tex]) is an addition of 3 to the previous term ([tex]a_{n-1}[/tex]).

Therefore (for n>1), the recursive formula which defines the sequence is:

[tex]a_n=a_{n-1}+3[/tex]

The correct option is B

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