egbeach
  • egbeach
Find an equation for the nth term of the arithmetic sequence. -3, -5, -7, -9, ...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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freckles
  • freckles
arithemtic sequences are well known for their common difference
freckles
  • freckles
so first step: find common difference
Haseeb96
  • Haseeb96
@freckles are you help her or should i help her?

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freckles
  • freckles
it doesn't matter
freckles
  • freckles
go for it
Haseeb96
  • Haseeb96
okay you carry on
Haseeb96
  • Haseeb96
i am busy some other areas
freckles
  • freckles
ok -3, -5, -7, -9, ... common difference can be found be taking a term and subtracting its previous term
egbeach
  • egbeach
-2
freckles
  • freckles
what is -5-(-3)?
freckles
  • freckles
yes that is right
freckles
  • freckles
\[a_n=a+d(n-1) \\ \text{ so } d=-2 \\ a_n=a-2(n-1)\] a is suppose to represent the first term
freckles
  • freckles
what is your first term
egbeach
  • egbeach
-3
freckles
  • freckles
so replacing a with -3 don't replace a_n with anything a_n thing we are finding \[a_n=-3-2(n-1)\]
egbeach
  • egbeach
thank you!
freckles
  • freckles
and as you can see we get all the terms when pluggin n=1,2,3,... \[a_1=-3-2(1-1) \\ a_1=-3-2(0) \\ a_1=-3 \\ a_2=-3-2(2-1) \\ a_2=-3-2(1) \\ a_2=-3-2 \\ a_2=-5 \] and so on ,,,
freckles
  • freckles
we will find find that a_n=-3-2(n-1) that a_3=-7 and a_4=-9
freckles
  • freckles
and so on... `

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