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AGummiBear55

  • 3 years ago

How do I do this problem? n an 1 1 2 6 3 11 4 16 When n equals 8, what does an equal?

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  1. wio
    • 3 years ago
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    You can tell it's an arithmetic sequence because \[ \large a_{n+1} -a_n=5 \]

  2. wio
    • 3 years ago
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    Arithmetic sequences have the form: \[ a_n = a_1 + (n-1)d \]

  3. wio
    • 3 years ago
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    In this case \(d = 5\) and \(a_1=1\), so our equation is \[ a_n = 1 + (n-1)5 \]

  4. ParthKohli
    • 3 years ago
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    But that is not the question... your formula is:\[a_n = a_1 + (n - 1)d\]The \(d\) was stated by @wio: \(5\).

  5. wio
    • 3 years ago
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    So you want to substitute \(n=8\) into the equation to find \(a_8\).

  6. ParthKohli
    • 3 years ago
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    So, the formula is:\[a_n = 1 + 5(n - 1)\]Now substitute \(n = 8\).

  7. AGummiBear55
    • 3 years ago
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    So the answer would be 36, correct?

  8. wio
    • 3 years ago
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    Yes

  9. AGummiBear55
    • 3 years ago
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    :D Thank you both, yall were A LOT of help!! <3

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