Question

Find the first six terms of the sequence. (7 points)

a1 = 1, an = 4 • an-1
(a)0, 4, 4, 8, 12, 16
(b)1, 4, 8, 12, 16, 20
(c)1, 4, 16, 64, 256, 1024
(d)4, 16, 64, 256, 1024, 4096

Answer 1

simply replace the value of n into the sequence

Answer 2

replace n=1 first

Answer 3

Answer is C, I think. It is a recursive sequence.
\[a _{n} = 4\times a _{n-1}\] and \[a _{1} = 1\]
so
\[a _{2} = a _{1}\times 4 = 4\]
\[a _{3} = a _{2}\times 4 = 16\]
\[a _{4} = a _{3}\times 4 = 64\]
ans so on.