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An arithmetic sequence has a common difference of 2 and contains the value 86 at some point in the sequence. Which of the following recursive formulas could represent this sequence?
Group of answer choices

an = an – 1 + 2; a1 = 1

an = an – 1 + 2; a1 = 2

an = an – 1 + 1; a1 = 2

an = an – 1 + 1; a1 = 1

Respuesta :

xero099

Answer:

B. [tex]a_{n} = a_{n-1}+2[/tex]; [tex]a_{1} = 2[/tex]

Step-by-step explanation:

According to the statement, we find that the following two conditions must be observed:

[tex]a_{i} = 86[/tex] (Eq. 1)

[tex]a_{i}-a_{i-1} = 2[/tex] (Eq. 2)

Since the difference between two even numbers leads to another even number. Hence, [tex]a_{1}[/tex] must be an even number and the correct answer is B.

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