Hello,
1)
\(a_{0}=2\)
\(a_{1}=a_{0}*4=8\)
\(a_{2}=a_{1}*4=a_{0}*4^2=32\)
\(a_{3}=a_{2}*4=a_{0}*4^3=128\)
\(a_{4}=a_{3}*4=a_{0}*4^4=512\)
\(a_{5}=a_{4}*4=a_{0}*4^5=2048\)
...
\(a_{n+1}=a_{n}*4=a_{0}*4^{n+1}\)
2)
\(a_{0}=1024\)
\(a_{1}=a_{0}*0.5=512\)
\(a_{2}=a_{1}*0.5=a_{0}*0.5^{2}=256\)
\(a_{3}=a_{2}*0.5=a_{0}*0.5^{3}=128\)
\(a_{4}=a_{3}*0.5=a_{0}*0.5^{4}=64\)
\(a_{5}=a_{4}*0.5=a_{0}*0.5^{5}=32\)
....
\(a_{n+1}=a_{n}*0.5=a_{0}*0.5^{n+1}\)
