Math CentralQuandaries & Queries


Question from Essence, a student:

I am having trouble doing my math homework. It asks me to write the first five terms of each sequence .I can not figure it out because it is a fraction.

The Problem Is:


Hi Essence,

I can help get you started.

The letter n indicates the term number which quite often starts with 1. When n = 1 the numerator of the fraction is 2n + 1 = 2 × 1 + 1 = 2 + 1 = 3 and the denominator is 2n = 2 × 1 = 2. Thus the first term is

2n+1/2n = 3/2.

For the second term n = 2. What is the numerator? What is the denominator? What is the fraction?


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