Kathleen Kathleen
  • 10-12-2016
  • Mathematics
contestada

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

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wolffiegirl
wolffiegirl wolffiegirl
  • 10-12-2016
 Equation for arithmetic sequence 
a{n} = a{1} + d(n - 1) 

Plug in known values 
2 = a{1} + -4(10 - 1) 
2 = a{1} - 36 
38 = a{1} 
a{1} = 38 


Plug d = -4 and a{1} = 38 into 
arithmetic sequence equation 
a{n} = 38 - 4(n - 1) 
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