dynamicmasterdoge
dynamicmasterdoge dynamicmasterdoge
  • 26-02-2021
  • Mathematics
contestada

Find the 96th term of the arithmetic sequence -3, -14, -25,

Respuesta :

reeserl reeserl
  • 01-03-2021

Answer:

-1048

Step-by-step explanation:

Use the formula

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

d = -14 - (-3) = -25 - (-14) = -11

In your problem, the first term is -3, n = 96, d = -11

[tex]a_{96} = -3 + (96 - 1)(-11)\\ = - 3 + 95(-11)\\ = -3 - 1045\\ = -1048[/tex]

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