Answer:
63 rd term
Step-by-step explanation:
The n th term of an arithmetic progression is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 5 and d = 11 - 5 = 17 - 11 = 6, hence
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Equate the n th term formula to 377 and solve for n, that is
6n - 1 = 377 ( add 1 to both sides )
6n = 378 ( divide both sides by 6 )
n = 63
Hence 377 is the 63 rd term in the sequence
