anagonzalezmeza20062 anagonzalezmeza20062
  • 15-10-2020
  • Mathematics
contestada

Find the 66th term of the arithmetic sequence -10, 7, 24

Respuesta :

jimrgrant1 jimrgrant1
  • 15-10-2020

Answer:

1095

Step-by-step explanation:

There is a common difference between consecutive terms , that is

7 - (- 10) = 24 - 7 = 17

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 17 , thus

[tex]a_{66}[/tex] = - 10 + (65 × 17) = - 10 + 1105 = 1095

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