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Math Help - A sequence problem... Yuck

  1. #1
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    A sequence problem... Yuck

    Alright so my teacher decides to give us this problem with minimal instruction, and my book is awful.



    Fiven the following sequence 8,14,20,26

    Find the nth term


    Find sn(phoenetically sounds S sub n )


    Prove your formula works for all n
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Bradley55 View Post
    Alright so my teacher decides to give us this problem with minimal instruction, and my book is awful.



    Fiven the following sequence 8,14,20,26

    Find the nth term


    Find sn(phoenetically sounds S sub n )


    Prove your formula works for all n
    a_n=8+6n That looks right doesnt it?
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  3. #3
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    So using that forumla how do i find the nth term. Or is that formula the answer to find the nth term?

    What about finding S sub N (Sn)?
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  4. #4
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    I know a rule is to not beg, but i'm really at a standstill and would like to finis the problem so I mustard out a decent grade.
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  5. #5
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    Well im headed to bed ill check this in the morning, i hope somebody could write out the answers. Truely desperate.
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  6. #6
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    Quote Originally Posted by Bradley55 View Post
    Alright so my teacher decides to give us this problem with minimal instruction, and my book is awful.

    Fiven the following sequence 8,14,20,26

    Find the nth term
    Find sn(phoenetically sounds S sub n )
    Prove your formula works for all n
    Quote Originally Posted by Bradley55 View Post
    Well im headed to bed ill check this in the morning, i hope somebody could write out the answers. Truely desperate.
    Instead of writing out answers i will nearly work out by giving hints


    Find the nth term:
    Mathstud28 already gave you the answer (assuming n starts from 0)
    If you know arithmetic progressions, the series you have is an A.P with first term '8' and common difference '6'.

    So T_n = a+(n-1)d = 8+6(n-1) = 6n+2

    Find sn(phoenetically sounds S sub n )

    S_n = \sum (6n+2) = \sum 6n+ \sum 2 = 3n(n+1) + 2n = 3n^2 +5n
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  7. #7
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    i am really stuck on Finding The Sn, Can you please work it out for me and just show me the steps you did. My teacher makes us do it on our own, and there are no good examples in the book.
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