Respuesta :
Answer:
[tex]a_{n}[/tex] = 5n - 13
Step-by-step explanation:
The n th term (explicit formula) of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 8 and d = - 3 - (- 8) = - 3 + 8 = 5. thus
[tex]a_{n}[/tex] = - 8 + 5(n - 1) = - 8 + 5n - 5 = 5n - 13
Answer:
a_n = -8 + (n - 1)5
Step-by-step explanation:
a_n = a + (n - 1)d
a = first term = -8
n = number of terms
d = common difference = second term - first term = -3 - (-8) = -3 + 8 = 5
therefore
a_n = -8 + (n - 1)5
