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Alexxx [7]
3 years ago
10

The sequence {an } is defined by a of o = 1 and a of n + 1 = 2 a of n + 2 for n = 0, 1, 2.... What is the value of a of 3?

Mathematics
1 answer:
maria [59]3 years ago
3 0
\begin{cases}a(0)=1\\a(n+1)=2a(n)+2&\text{for }n\ge0\end{cases}

Use the second part of the definition (the recursive one):


a(1)=2a(0)+2=4
a(2)=2a(1)+2=10
a(3)=2a(2)+2=22
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