taha03samad
taha03samad taha03samad
  • 06-02-2022
  • Mathematics
contestada

What is the 100th term of the linear sequence below? 9, -5, -1,3,7,...​

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 06-02-2022

Answer:

[tex] a_{100} = 387 [/tex]

Step-by-step explanation:

I think the first term is -9.

Then each term is 4 more than the previous term.

The constant difference is 4. d = 4.

[tex] a_n = a_{n - 1} + 4 [/tex]

[tex] a_1 = -9 [/tex]

For n ≥ 2,

[tex] a_n = -9 + (n - 1)d [/tex]

[tex] a_{100} = -9 + (100 - 1)(4) [/tex]

[tex] a_{100} = 387 [/tex]

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