Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that 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 = 6 and d = 2, thus
[tex]a_{n}[/tex] = 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
[tex]a_{130}[/tex] = (2 × 130) + 4 = 260 + 4 = 264
