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Math Help - difference equations

  1. #1
    Member Mr Rayon's Avatar
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    difference equations

    Write the first 5 terms of each of the following sequences.

    t_{n+2} = t_{n}+t_{n+1}, t_{1}= 3, t_{2}=7, n=1, 2, 3...

    The answers are supposed to be 3,7,10,17,27.

    Though why 27?

    I've got a test on this today, so please hurry with responses.
    any help will be appreciated. please show all working out.
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  2. #2
    Flow Master
    mr fantastic's Avatar
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    Quote Originally Posted by Mr Rayon View Post
    Write the first 5 terms of each of the following sequences.

    t_{n+2} = t_{n}+t_{n+1}, t_{1}= 3, t_{2}=7, n=1, 2, 3...

    The answers are supposed to be 3,7,10,17,27.

    Though why 27?

    I've got a test on this today, so please hurry with responses.
    any help will be appreciated. please show all working out.
    Why not 27? Please show your working that makes you doubt that 27 is the fifth term.
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