AzaiZ108367 AzaiZ108367
  • 25-10-2022
  • Mathematics
contestada

What is the sequence that has a recursive formula A(n)= A(n-1)+4 where A(1)=3

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AisleyL28715 AisleyL28715
  • 25-10-2022
[tex](3,7,11,15,\ldots)[/tex]

1) Considering that, let's find each term:

[tex]\begin{gathered} a_1=3 \\ a_n=a_{n-1}+4 \\ a_2=a_1+4\Rightarrow a_2=3+4=7 \\ a_3=a_2+4\Rightarrow a_3=7+4\text{ =11} \\ a_4=11+4\text{ }\Rightarrow a_4=15 \end{gathered}[/tex]

2) So the sequence is

[tex](3,7,11,15,\ldots)[/tex]

As each term, from the 2nd one is 4 units more that's why we can make it using a recursive formula

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