Insert 5

Insert five harmonic means between 1/2 and 1/26

Correct answer:

a2 =  0.1667
a3 =  0.1
a4 =  0.0714
a5 =  0.0556
a6 =  0.0455

Step-by-step explanation:

a1=1/2=12=0.5 a7=1/26=1260.0385  b1=1/a1=1/0.5=2 b7=1/a7=1/0.0385=26 d=(b7b1)/(71)=(262)/(71)=4  b2=b1+d=2+4=6  a2=1/b2=1/6=0.1667
b3=b2+d=6+4=10 a3=1/b3=1/10=0.1
b4=b3+d=10+4=14 a4=1/b4=1/14=0.0714
b5=b4+d=14+4=18 a5=1/b5=1/18=0.0556
b6=b5+d=18+4=22 a6=1/b6=1/22=0.0455

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