HP - harmonic progression

Determine the 10th term of the harmonic progression 6,4,3,…

Correct answer:

h10 =  1.0909

Step-by-step explanation:

h1​=6 h2​=4 h3​=3  a1​=1/h1​=1/6=61​≐0.1667 a2​=1/h2​=1/4=41​=0.25 a3​=1/h3​=1/3=31​≐0.3333  d1​=a2​−a1​=0.25−0.1667=121​≐0.0833 d2​=a3​−a2​=0.3333−0.25=121​≐0.0833  d1​=d2​ d=d1​=0.0833=121​≐0.0833  a10​=a1​+9⋅ d=0.1667+9⋅ 0.0833=1211​≐0.9167  h10​=1/a10​=1/0.9167=1.0909

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