# How do you Find the n-th term of the infinite sequence 1,1/4,1/9,1/16,…?

Oct 5, 2014

By observing the first several terms,

${a}_{1} = 1 = \frac{1}{1} ^ 2$

${a}_{2} = \frac{1}{4} = \frac{1}{2} ^ 2$

${a}_{3} = \frac{1}{9} = \frac{1}{3} ^ 2$

${a}_{4} = \frac{1}{16} = \frac{1}{4} ^ 2$

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${a}_{n} = \frac{1}{n} ^ 2$

I hope that this was helpful.