Find the sixth term of the sequence 17, 68, 272, 1088,... using the equation a_n = a₁(4)^n-1

Identify if the following sequence is arithmetic, geometric, or none of them. In the case of an arithmetic sequence, determine its common difference, and in the case of a geometric sequence, determine its common ratio.

a_n = n³ + 1

Rewrite and simplify the given recurring decimal as a fraction.

The first term and the common ratio of a geometric sequence are given. Find the first five terms.

a₁ = 2, r = 4