anonymous
  • anonymous
does anyone know what the general terms of this sequence is 3,6,10,15
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
yes
anonymous
  • anonymous
lol can you help me
anonymous
  • anonymous
sorry i didnt got you

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anonymous
  • anonymous
it is a arithmetic sequence with a twist.
anonymous
  • anonymous
so how do i do it
anonymous
  • anonymous
how does each sequence differs
anonymous
  • anonymous
it increase by one each time so ,2,3,4,5
anonymous
  • anonymous
yes
anonymous
  • anonymous
now what do i do
anonymous
  • anonymous
do you know the form for an arithmetic sequence?
anonymous
  • anonymous
no
anonymous
  • anonymous
ok ill give you the form for that and then you can try to relate it to this problem. \[\sum_{n=1}^{N}n=N*(N+1)/2\]
anonymous
  • anonymous
let me know if that's enough to get you started
anonymous
  • anonymous
what does n represent
anonymous
  • anonymous
n is just an integer. in the sum if you have N=3 you get 1+2+3=6= (3*4/2)
anonymous
  • anonymous
can you these formulas for series?
anonymous
  • anonymous
yes it will help you find a general form for this series in terms of n where n represents with term in the series you are at.
anonymous
  • anonymous
do we alway use this formula for finding the general term
anonymous
  • anonymous
no not always
anonymous
  • anonymous
are you looking for the series(sum) or sequence?
anonymous
  • anonymous
for the series
anonymous
  • anonymous
i just want a quick way of figuring out the general term
anonymous
  • anonymous
instead of keep guessing
anonymous
  • anonymous
lets break the terms into sums 1+2 1+2+3 1+2+3+4 ... so if n denotes the term we have \[\sum_{i=1}^{n+1}i=(n+1)*(n+2)/2=(n^{2}+3n+2)/2\]
anonymous
  • anonymous
so n=1: (1+3+2)/2=3 you can check the other terms if you want
anonymous
  • anonymous
is there a a better way of figuring this out so you can avoid fractions in the general term
anonymous
  • anonymous
this is the simplest way I know to do it.
anonymous
  • anonymous
okay ty
anonymous
  • anonymous
yep, hope it helped a bit :)
anonymous
  • anonymous
yah it did ty

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