Question: A harmonic sequence is a sequence with the property that every three consecutive terms (a, b and c, say) of the sequence satisfy Prove that

A harmonic sequence is a sequence with the property that every three consecutive terms (a, b and c, say) of the sequence satisfy

a C a-b b-c

Prove that the reciprocals of the terms of a harmonic sequence form an arithmetical progression. Hence find the intermediate terms of a harmonic sequence of eight terms whose first and last terms are 2/3 and 2/17 respectively.

a C a-b b-c

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