gameking822 gameking822

09-08-2016
Mathematics

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Write a rule for the nth term of an arithmetic sequence in which a10 = 46 and d = 3.

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dalendrk dalendrk

10-08-2016

[tex]a_{10}=46;\ d=3\\\\a_n=a_1+(n-1)d\\\\a_1=a_{10}-9d\to a_1=46-9\cdot3=46-27=19\\\\subtitute\\\\a_n=19+(n-1)\cdot3=19+3n-3=16+3n\\\\Answer:{\boxed{a_n=3n+16}[/tex]

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