julaireea julaireea
  • 06-12-2020
  • Mathematics
contestada

Write the recursive
rule for the nth term.
Then find the 5th term.
{9, 14, 19...]

Respuesta :

s1m1
s1m1 s1m1
  • 06-12-2020

Answer:

Step-by-step explanation:

{9, 14, 19, ...} so it looks like 5 is added to the previous term to get next

The recursive rule may be

[tex]a_{1} =9[/tex]

[tex]a_{n} = a_{n-1} +5[/tex]

The fith term is you find by writing the arithmetic sequence formula

[tex]a_{n} = a_{1} + (n-1) d[/tex] , where d is how much you add

yet for the 5th term

[tex]a_{5} = a_{1} + (5-1)* 5[/tex]

[tex]a_{5} = 9 +4*5 = 9+20 =29[/tex]

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