k1riilfordnimuol k1riilfordnimuol

17-07-2016
Mathematics

Answered

what is the 30th term of the arithmetic series 2, 5, 8,

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dalendrk dalendrk

17-07-2016

\(a_1=2;\ a_2=5;\ a_3=8\\\\a_n=a_1+(n-1)d\\\\d=a_2-a_1\to d=5-2=3\\\\a_n=2+(n-1)\cdot3=2+3n-3=3n-1\\\\a_{30}=3\cdot30-1=90-1=89\)

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