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Find an equation for the nth term of the arithmetic sequence. a14 = -33, a15 = 9

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calculus

asked Aug 4, 2014 in CALCULUS by Tdog79 Pupil

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1 Answer

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Given terms

a14=-33,a15 = 9

Calculate the common ration,d = a15-a14 =9-(-33) =42

a14 =a+13d,a15=a+14d

a+13d =-33

a+13(42)=-33

a = -579

Calculate the n th term.

an =a+(n-1)d

=-579+(n-1)(42)

= -579+42n-42

=-621+42n

Therefore, the nth term is -621+42n

answered Aug 4, 2014 by anonymous

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