richhslickkbree richhslickkbree
  • 10-12-2018
  • Mathematics
contestada

Write the rule of the nth term of each sequence 7,4,1,-2

Respuesta :

jimrgrant1 jimrgrant1
  • 10-12-2018

Answer:

[tex]a_{n}[/tex] = 10 - 3n

Step-by-step explanation:

the terms 7, 4, 1, - 2 form an arithmetic sequence with n th term

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]a_{1}[/tex] the first term

here d = - 2 - 1 = 1 - 4 = 4 - 7 = - 3 and [tex]a_{1}[/tex] = 7, hence

[tex]a_{n}[/tex] = 7 - 3(n - 1) = 7 - 3n + 3 = 10 - 3n


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