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Math Help - INTEGER SEQUENCES

  1. #1
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    INTEGER SEQUENCES

    the nth term of a sequence is given by this formula:

    nth term = 62 - 5n

    Find an expressipn, in terms of n, for the sum of the nth term and (n+1)th term of the sequence. thanks
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  2. #2
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    Hello, abey_27!

    It seems simple enough . . . Exactly where is your difficulty?


    The n^{th} term of a sequence is given by: . a_n \:=\:62-5n

    Find an expression, in terms of n,
    for the sum of the n^{th} term and (n+1)^{th} term of the sequence.

    We have:. \begin{array}{ccc}a_n &=& 62 - 5n \\<br />
a_{n+1} &=& 62-5(n\!+\!1) \end{array}


    Therefore: . a_n + a_{n+1} \;=\;[62-5n] + [62-5(n+1)] \;=\;119 - 10n

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  3. #3
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    i didnt really understand what it meant by 'sum of the nth term', so is that simply just the formula nth term= 62-5n ?
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