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Which recursive formula can be used to define this sequence for n>1n > 1?\newline14,23,32,41,50,59,…14, 23, 32, 41, 50, 59, \ldots\newlineChoices:\newline(A) a=a−9a = a - 9\newline(B) a=4123aa = \frac{41}{23}a\newline(C) a=a+a+9a = a + a + 9\newline(D) a=a+9a = a + 9

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Q. Which recursive formula can be used to define this sequence for n>1n > 1?\newline14,23,32,41,50,59,…14, 23, 32, 41, 50, 59, \ldots\newlineChoices:\newline(A) a=a−9a = a - 9\newline(B) a=4123aa = \frac{41}{23}a\newline(C) a=a+a+9a = a + a + 9\newline(D) a=a+9a = a + 9
  1. Given Sequence Type: We have: 14,23,32,41,50,59,…14, 23, 32, 41, 50, 59, \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: 14,23,32,41,50,59,…14, 23, 32, 41, 50, 59, \ldots\newlineFind the common difference, dd.\newlineTwo consecutive terms are 1414 and 2323.\newline23−14=923 - 14 = 9\newlineCommon difference (d):9(d): 9
  3. Identify Recursive Formula: 14,23,32,41,50,59,…14, 23, 32, 41, 50, 59, \ldots\newlineIdentify the recursive formula for the given sequence.\newlineSubstitute 99 for dd in an=an−1+da_n = a_{n-1} + d.\newlineRecursive formula: an=an−1+9a_n = a_{n-1} + 9

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