Mathematics
caileeansay
15

find an equation for the nth term of the arithmetic sequence. a14 = -33, a15 = 9 select one: a. an = -579 42(n 1) b. an = -579 42(n - 1) c. an = -579 - 42(n 1) d. an = -579 - 42(n - 1)

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MickieGelormino111

[latex]The\ arithmetic\ sequence:a_n=a_1+(n-1)d\\\\a_{14}=-33;\ a_{15}=9\\\\a_{15}-a_{14}=d\\\\d=9-(-33)=9+33=42\\\\a_1=a_{14}-13d\\\\a_1=-33-13\cdot42=-33-546=-579\\\\\boxed{a_n=-579+42(n-1)}[/latex]

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