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"Recursive definition"Can anyone give "recursive" definition of the sequences given below? n = 1,2,3... Code: `a) a_n = 4n-2` Please provide me with explanation too! Also, is there any LaTeX in this forum? |

If you write out a_n - a_(n-1), you'll find the recursive forms fairly easily. For the first, a_n - a_(n-1) = (4n - 2) - (4(n-1) - 2) = 4, so a_n = a_(n-1) + 4. LaTeX is coming soon! |

Quote:
Code: `Is this true for 2nd one...` |

No. (-1)^n - (-1)^(n-1) is either 2 or -2. a_n + a_(n-1) = 0. |

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