Respuesta :

wegnerkolmp2741o

Answer:

an = an-1 +4  

a1 = 14

Step-by-step explanation:

The recursive formula is

an = an-1 +d  where d is the common difference

a1 = initial term

a1 = 14

d = the difference between the terms

Take the second term and subtract the first term

18-4 = 4

That is the common difference

an = an-1 +4  

a1 = 14

RiskeMauri

If we will analyze this sequence, we will notice that:

  • The sequence started by 14. So, the first term ([tex]a_1[/tex]) is 14.

  • From 14 to 18 we add 4. From 18 to 22 we add 4. This standard repeats itself infinitely. The next term is equals the last term plus 4.

So,

[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]

Therefore, the correct option is letter C.

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