Geometric progression 4

8,4√2,4,2√2

Correct result:

q =  0.7071
a5 =  2
a6 =  1.4142
a7 =  1

Solution:

a1=8 a2=4⋅ 2=4 2≐5.6569 a3=4 a4=2⋅ 2=2 2≐2.8284  q1=a2/a1=5.6569/8≐0.7071 q2=a3/a2=4/5.6569≐0.7071 q3=a4/a3=2.8284/4≐0.7071  q1=q2=q3 q=q3=0.7071
a5=q⋅ a4=0.7071⋅ 2.8284=2a_{5}=q \cdot \ a_{4}=0.7071 \cdot \ 2.8284=2
a6=q⋅ a5=0.7071⋅ 2=2=1.4142
a7=q⋅ a6=0.7071⋅ 1.4142=1

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