Rethabile7729 Rethabile7729
  • 23-10-2019
  • Mathematics
contestada

Consider Akelia’s sequence 5, 8, 11, 14, 17, ….
a. If you believed in patterns, what might you say is the next number in the sequence?

Respuesta :

carlos2112
carlos2112 carlos2112
  • 24-10-2019

Answer:

It would be 20

Step-by-step explanation:

As we can see, the sequence starts from 5 and increases by three each time. In fact, one possible formula for that sequence could be:

[tex]a_n=3n+2\hspace{10}n\in N[/tex]

Let's confirm the formula by evaluating the first 6 terms:

[tex]a_1=3(1)+2=3+2=5\\a_2=3(2)+2=6+2=8\\a_3=3(3)+2=9+2=11\\a_4=3(4)+2=12+2=14\\a_5=3(5)+2=15+2=17\\a_6=3(6)+2=18+2=20[/tex]

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