What Is The Nth Term Of The Harmonic Sequence 1/2,1/4,1/6,1/8?

What is the nth term of the harmonic sequence 1/2,1/4,1/6,1/8?

 

Answer:

an=1/2n

Step-by-step explanation:

Its equivalent in arithmetic is 2,4,6,8.

a1=2, d=2

an=2+(n-1)2

an=2+2n-2

an=2n

since arithmetic is the reciprocal of harmonic, we have

an=1/2n


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