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Question

If a1,a2,a3,an are in harmonical progression, show that
anan1=12121212a2a1.

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Solution

By definition of H.P. we have;-
1an+1an2=b3an1
an1an=2an1an2
anan112an1an2;an1an2;12an2an3
and so on
a3a2=12a2a1
anan1=121212.....12a2a1

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