Respuesta :

Answer:

2687

Step-by-step explanation:

These are the terms of 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 = 14 - 5 = 23 - 14 = 9 and [tex]a_{1}[/tex] = 5, hence

[tex]a_{299}[/tex] = 5 + (298 × 9) = 5 + 2682 = 2687

Answer:


Step-by-step explanation: Use the AP formula: T(n) = a + (n-1)d

T(299) = 5 + (299-1)9

and the 299th term is 2,687