kikerjordan kikerjordan
  • 26-05-2020
  • Mathematics
contestada

Given the sequence below determine the 15th term.

14, 11, 8, 5, ...

Respuesta :

jimrgrant1 jimrgrant1
  • 26-05-2020

Answer:

- 28

Step-by-step explanation:

There is a common difference d  between consecutive terms, that is

d = 11 - 14 = 8 - 11 = 5 - 8 = - 3

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 = 14 and d = - 3 , thus

[tex]a_{15}[/tex] = 14 + (14 × - 3) = 14 - 42 = - 28

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