Question

Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by multiplying the one before it by 4. Find the formula representing an, the nth term of the sequence.

Answer 1

\[a _{n} = a _{n-1} \times4\]

Answer 2

a1=1
a2=4
a3=16
a4=64
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an=an-1 x4 - yes this will be the nth term

Answer 3

The non recursive solution would be:\[a_n = 4^{n-1}\]as a1 = 4^0 = 1, a2 = 4^1 = 4, a3 = 4^2 = 16, and so on.