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PLEASE HELP!!!!!! I HAVE BEEN STUCK FOR DAYS!!!!

PLEASE HELP!!!!!! I HAVE BEEN STUCK FOR DAYS!!!!-example-1

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5 votes

Answer:

40 terms

Explanation:

the sum to n terms of an arithmetic sequence is


S_(n) =
(n)/(2) (a₁ +
a_(n) )

then


(n)/(2) (- 4 - 82) = - 1720 ( multiply both sides by 2 to clear the fraction )

- 86n = - 3440 ( divide both sides by - 86 )

n = 40

the series has 40 terms

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