anonymous
  • anonymous
write next term of the sequence, then write rule. 2,6,12,20
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hero
  • Hero
2 + 4 = 6 6 + 6 = 12 12 + 8 = 20 20 + ? =
anonymous
  • anonymous
could be geometric try it out
anonymous
  • anonymous
or do heros lol

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anonymous
  • anonymous
thank you guys! :)
Hero
  • Hero
@Amberramirez, You figured out the correct numbers AND the rule as well? You should let us know what you got so we can make sure you got it right.
anonymous
  • anonymous
@Hero I just got the next term. I'm still trying to figure out the rule. I'm not sure how to figure that out since the common ratio (right?) isn't constant. The next term is 30
anonymous
  • anonymous
No
anonymous
  • anonymous
@Hero
Hero
  • Hero
Nevermind, it's not arithmetic sequence. Hang on
Hero
  • Hero
Okay, so here's what we have: n = order of n terms in the sequence r = the result of the rule n = {1,2,3,4,5} r = {2,6, 12, 20, 30} How do we get from 1 to 2 Then from 2 to 6 Then from 3 to 12 and so on?
Hero
  • Hero
Okay, well, basically, the rule is \[r_n = n(n + 1)\]
Hero
  • Hero
\[r_1 = 1(1 + 1) = 1(2)= 2\]\[r_2 = 2(2 + 1) = 2(3)= 6\]\[r_3 = 3(3 + 1) = 3(4) = 12\] And so on
anonymous
  • anonymous
oh okay that makes sense. thank you :)

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