# Classify the following series: 1 + 1/4 + 1/9 + 1/16 + 1/25 + …

Classify the following series: $$\displaystyle{1}+\frac{{1}}{{4}}+\frac{{1}}{{9}}+\frac{{1}}{{16}}+\frac{{1}}{{25}}+…$$

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$$\displaystyle{1}+\frac{{1}}{{4}}+\frac{{1}}{{9}}+\frac{{1}}{{16}}+\frac{{1}}{{25}}+…$$
$$\displaystyle\frac{{1}}{{1}^{{2}}}+\frac{{1}}{{2}^{{2}}}+\frac{{1}}{{3}^{{2}}}+\frac{{1}}{{4}^{{2}}}+\frac{{1}}{{5}^{{2}}}+…$$, so $$\displaystyle{\sum_{{{n}={1}}}^{\infty}}\frac{{1}}{{\left({n}\right)}^{{2}}}$$
Harmonic series are given as: $$\displaystyle{\sum_{{{n}={1}}}^{\infty}}\frac{{1}}{{\left({n}\right)}^{{p}}}$$, in the above series p = 2
Hence, the series would be classified as a p-series with p > 1