wade733 wade733
  • 27-08-2019
  • Mathematics
contestada

Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 27-08-2019

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

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

Here, [tex] a_1 = -1 [/tex]

[tex] a_{75} = -1 + (75 - 1)(16) [/tex]

[tex] a_{75} = 1183 [/tex]

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