Insert 6

Insert four harmonic means between 3/7 and 3/19

Correct answer:

a2 =  0.355
a3 =  0.303
a4 =  0.2643
a5 =  0.2344

Step-by-step explanation:

a1=3/7=370.4286 a6=4/19=4190.2105  b1=1/a1=1/0.4286=73=2132.3333 b6=1/a6=1/0.2105=194=434=4.75 d=(b6b1)/(61)=(4.752.3333)/(61)=29600.4833  b2=b1+d=2.3333+0.4833=16960=249602.8167  a2=1/b2=1/2.8167=60169=0.355
b3=b2+d=2.8167+0.4833=3310=3310=3.3 a3=1/b3=1/3.3=1033=0.303
b4=b3+d=3.3+0.4833=22760=347603.7833 a4=1/b4=1/3.7833=60227=0.2643
b5=b4+d=3.7833+0.4833=6415=44154.2667 a5=1/b5=1/4.2667=1564=0.2344

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