anonymous
  • anonymous
What types of functions combine to create an explicit formula for arithmetic sequences?
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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freckles
  • freckles
what does your question mean ?
freckles
  • freckles
\[a,a+d,a+2d,a+3d,... ,a+(n-1)d,... \text{ where the } nth \text{ term is given by } \\ a_n=a+(n-1)d\]
freckles
  • freckles
by the way the above is an arithemetic sequence because the common difference is d

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freckles
  • freckles
that is term - previous term will always give you d
anonymous
  • anonymous
functions that allow the calculation of any term in the sequence ??|
freckles
  • freckles
you can use the above formula to find a term a_k if you know d and the first term
freckles
  • freckles
for example say your first term is 5 and your common difference is 3 and you want to find a_(55) \[a_n=5+(n-1)3 \\ \text{ well } a_{55}=5+(55-1)3=5+(54)3=5+162=167\]

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