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Harmonic progression

Sequences, series and the binomial theorem · Mathematics

Study notes

Q: Is 1/2, 1/5, 1/8, 1/11 a HP? Find its 6th term. Step 1: Reciprocals: 2, 5, 8, 11 - an AP with a = 2, d = 3. Yes, HP. Step 2: 6th term of reciprocal AP: 2 + 5×3 = 17. Step 3: 6th term of HP = 1/17.

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