anonymous
  • anonymous
I'm unclear on how to solve this problem, can anyone help me please? (: "Given the sequence -3,0,3, which of the following is the equivalent to
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\sum_{n=5}^{8} a _{n}\]
anonymous
  • anonymous
54 102 144 162 These are my choices.
UnkleRhaukus
  • UnkleRhaukus
\[\sum_{n=5}^{8} a _{n}=a_5+a_6+a_7+a_8\]

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UnkleRhaukus
  • UnkleRhaukus
what is \(-3,0,3,\) ? are they \(a_1, a_2,a_3\) ?
anonymous
  • anonymous
Im not really sure, I think you're supposed to derive a "summation" from those. When I did that I got 6+3n but I'm not sure if that's right
anonymous
  • anonymous
I got that from substituting 9 as the first term and 3 as i in the equation \[a_{n}\] = a1 + (n-1)d
UnkleRhaukus
  • UnkleRhaukus
how do you know 9 is the first term?
anonymous
  • anonymous
Because n=5 so that means that I start on the first term of the original sequence? so -3,0,3,6,9,12,... so 9 is the 5th term, so I started there. From there I continued 9,12,15,18,21,24,27,30,33... and used 30 as the 8th term. I just sorta guessed on that part...
UnkleRhaukus
  • UnkleRhaukus
oh right, so \[a_5=9,\quad a_6=12, \quad a_7=15, \quad a_8=18\]
anonymous
  • anonymous
Okay, so if those are the values, then what would you do afterwards?
UnkleRhaukus
  • UnkleRhaukus
just add em
anonymous
  • anonymous
oh, wow okay. So I guess 9 wasn't the first term haha
UnkleRhaukus
  • UnkleRhaukus
\[\sum_{n=5}^{8} a _{n}=9+12+15+18=\]
anonymous
  • anonymous
I got 54 correct?
UnkleRhaukus
  • UnkleRhaukus
i think thats right
anonymous
  • anonymous
Okay, thank you so much! (:

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