Several terms of a sequence are given.
a. Find the next two terms of the sequence.
b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence).
c. Find an explicit formula for the nth term of the sequence.
{1, 4, 16, 64, 256, ...}
a. The next two terms of the sequence are a6 = [ ] and a7 = [ ]. (Simplify your answers.)
b. A recurrence relation that generates the sequence is an+1 = [ ], a1 = [ ], for n >= 1.
c. An explicit formula for the general nth term of the sequence is an = [ ], n >= 1.