Respuesta :
Good evening ,
Answer:
Un = -16n +42
Step-by-step explanation:
Un = U1 + (n-1)r
U1 = 26
r = 10-26 = -16
Un = U1 + (n-1)r
= 26 + (n-1)(-16)
= 26 - 16n + 16
= -16n +42.
:)
Answer:
[tex]a_{n}[/tex] = 42 - 16n
Step-by-step explanation:
Note there is a common difference d between consecutive terms
d = 10 - 26 = - 6 - 10 = - 22 - ( - 6)) = - 16
This indicates that the sequence is arithmetic with n th term ( explicit formula )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 26 and d = - 16, thus
[tex]a_{n}[/tex] = 26 - 16(n - 1) = 26 - 16n + 16 = 42 - 16n
