leslie130 leslie130

05-06-2018
Mathematics

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The seventh term of an arithmetic sequence is 21, the tenth term is 126. The first term is

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05-06-2018

Hi,
[tex]a_{10}=a_0+10*r\\ a_7=a_0+7*r\\ a_{10}-a_7=3\ \Rightarrow 126-21=3r\ \Rightarrow r=35\\ a_7=a_0+7*r\ \Rightarrow 21=a_0+7*35\\ \Rightarrow a_0=-224\\ \Rightarrow a_1=-224+35\\ \boxed{a_1=-189} [/tex]

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