janspe7880 janspe7880
  • 03-11-2020
  • Mathematics
contestada

Find the 51st term of the arithmetic sequence 29, 9, -11,...

Respuesta :

joshlind3
joshlind3 joshlind3
  • 03-11-2020

Answer:

Step-by-step explanation:

arithmetic sequences can be written as

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951[/tex]

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