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Which recursive formula can be used to define this sequence for n>1n > 1?\newline2,4,6,8,10,12,2, 4, 6, 8, 10, 12, \ldots\newlineChoices:\newline(A) an=an12a_n = a_{n-1} - 2\newline(B) an=2an1a_n = 2a_{n-1}\newline(C) an=an1+2a_n = a_{n-1} + 2\newline(D) an=an1+an12a_n = a_{n-1} + a_{n-1} - 2

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Q. Which recursive formula can be used to define this sequence for n>1n > 1?\newline2,4,6,8,10,12,2, 4, 6, 8, 10, 12, \ldots\newlineChoices:\newline(A) an=an12a_n = a_{n-1} - 2\newline(B) an=2an1a_n = 2a_{n-1}\newline(C) an=an1+2a_n = a_{n-1} + 2\newline(D) an=an1+an12a_n = a_{n-1} + a_{n-1} - 2
  1. Given Sequence Type: We have: 2,4,6,8,10,12,2, 4, 6, 8, 10, 12, \ldots\newlineIs the given sequence geometric or arithmetic?\newlineThe difference between consecutive terms is the same.\newlineThe given sequence is arithmetic.
  2. Find Common Difference: 2,4,6,8,10,12,2, 4, 6, 8, 10, 12, \ldots\newlineFind the common difference, dd.\newlineTwo consecutive terms are 22 and 44.\newline42=24 - 2 = 2\newlineCommon difference (d):2(d): 2
  3. Recursive Formula Identification: 2,4,6,8,10,12,2, 4, 6, 8, 10, 12, \ldots\newlineIdentify the recursive formula for the given sequence.\newlineSubstitute 22 for dd in an=an1+da_n = a_{n-1} + d.\newlineRecursive formula: an=an1+2a_n = a_{n-1} + 2

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