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madam [21]
3 years ago
10

An arithmetic sequence has a common difference of 2 and contains the value 86 at some point in the sequence. Which of the follow

ing 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
Mathematics
1 answer:
shusha [124]3 years ago
3 0

Answer:

B. a_{n} = a_{n-1}+2; a_{1} = 2

Step-by-step explanation:

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

a_{i} = 86 (Eq. 1)

a_{i}-a_{i-1} = 2 (Eq. 2)

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

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