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Which recursive formula can be used to define this sequence for n>1n > 1?\newline10,13,16,19,22,25,…10, 13, 16, 19, 22, 25, \ldots\newlineChoices:\newline(A)a=a+a−3a = a + a - 3\newline(B)a=1310aa = \frac{13}{10}a\newline(C)a=a−3a = a - 3\newline(D)a=a+3a = a + 3

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Q. Which recursive formula can be used to define this sequence for n>1n > 1?\newline10,13,16,19,22,25,…10, 13, 16, 19, 22, 25, \ldots\newlineChoices:\newline(A)a=a+a−3a = a + a - 3\newline(B)a=1310aa = \frac{13}{10}a\newline(C)a=a−3a = a - 3\newline(D)a=a+3a = a + 3
  1. Sequence Type: We have: 10,13,16,19,22,25,…10, 13, 16, 19, 22, 25, \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: 10,13,16,19,22,25,…10, 13, 16, 19, 22, 25, \ldots\newlineFind the common difference, dd.\newlineTwo consecutive terms are 1010 and 1313.\newline13−10=313 - 10 = 3\newlineCommon difference (d):3(d): 3
  3. Recursive Formula: 10,13,16,19,22,25,…10, 13, 16, 19, 22, 25, \ldots\newlineIdentify the recursive formula for the given sequence.\newlineSubstitute 33 for dd in an=an−1+da_n = a_{n-1} + d.\newlineRecursive formula: an=an−1+3a_n = a_{n-1} + 3

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