This is because each term in the sequence is a power of 2. For example, $2^{0}=1$, $2^{1}=2$, and $2^{2}=4$.
Step 2:
The second sequence is generated by the formula $a_{n}=2 \cdot a_{n-1}$ for $n=1,2,3, \dots$. This is because each term in the sequence is twice
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