Question

Wyznacz piąty wyraz ciągu geometrycznego pierwiatek z 2, 4-pierwiatek z 2,...

Answer 1

A1=√2
a2=4-√2
q=a2/a1=[4-√2] /√2=[4√2-2]/2=2√2-1
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a3=a2q=[4-√2] * [ 2√2-1]=8√2-4-4+√2=9√2-8
a4=[9√2-8]*[2√2-1]=36-9√2-16√2+8=44-25√2
a5=[44-25√2] *[2√2-1]=88√2-44-100+25√2=113√2-144