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InezramiaDdl
InezramiaDdl InezramiaDdl
  • 30-07-2016
  • Mathematics
Answered

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

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dalendrk
dalendrk dalendrk
  • 31-07-2016

\(a_7=21;\ a_{10}=126\\\\a_{10}-a_7=3d\\\\subtitute\\\\3d=126-21\\3d=105\ \ \ |divide\ both\ sides\ by\ 3\\d=35\\\\a_1=a_7-6d\\\\a_1=21-6\cdot35=21-210=-189\\\\Answer:\boxed{a_1=-189}\)

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Hussain514 Hussain514
  • 03-08-2016

pretend that the first term is 21, and the fourth term is 126 
it's the same thing. 
126 =21 +3d 
105=3d 
d=35 
21 =a1 +6(35) 
21=a1 +210 
a1=-189

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