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Which recursive formula can be used to define this sequence for n > 1?\newline8,4,16,28,40,52,-8, 4, 16, 28, 40, 52, \ldots\newlineChoices:\newline(A) an=7an1a_n = 7a_{n-1}\newline(B) an=112an1a_n = \frac{1}{12}a_{n-1}\newline(C) an=an1+an2+12a_n = a_{n-1} + a_{n-2} + 12\newline(D) an=an1+12a_n = a_{n-1} + 12

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Q. Which recursive formula can be used to define this sequence for n>1n > 1?\newline8,4,16,28,40,52,-8, 4, 16, 28, 40, 52, \ldots\newlineChoices:\newline(A) an=7an1a_n = 7a_{n-1}\newline(B) an=112an1a_n = \frac{1}{12}a_{n-1}\newline(C) an=an1+an2+12a_n = a_{n-1} + a_{n-2} + 12\newline(D) an=an1+12a_n = a_{n-1} + 12
  1. Given Sequence Type: We have: 8-8, 44, 1616, 2828, 4040, 5252, ...\ Is the given sequence geometric or arithmetic?\ The difference between consecutive terms is the same.\ The given sequence is arithmetic.
  2. Find Common Difference: 8,4,16,28,40,52,-8, 4, 16, 28, 40, 52, \ldots\newline Find the common difference, dd.\newline Two consecutive terms are 8-8 and 44.\newline 4(8)=124 - (-8) = 12\newline Common difference (dd): 1212
  3. Identify Recursive Formula: 8,4,16,28,40,52,-8, 4, 16, 28, 40, 52, \ldots\newlineIdentify the recursive formula for the given sequence.\newlineSubstitute 1212 for dd in an=a(n1)+da_n = a_{(n-1)} + d.\newlineRecursive formula: an=a(n1)+12a_n = a_{(n-1)} + 12

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