megtony07
megtony07 megtony07
  • 10-11-2017
  • Mathematics
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Which function can be used to find the nth term of the arithmetic sequence?

Which function can be used to find the nth term of the arithmetic sequence class=

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jdoe0001 jdoe0001
  • 10-11-2017
so, the first term in the arithmetic sequence is -1, then the fourth is -4, the tenth is -10... hmmmm


notice, an arithmetic sequence has a "additioner", or a "common difference", from -1 to 3 terms later it ends up as -4, so the common difference is -1.

so, therefore the sequence is then -1, (-1-1) = -2, (-2-1)=-3, (-3-1)= -4 and so on.

so f(-1) = -1, f(4) = -4, f(10)  = -10, thus f(n) = -n
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