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Infinite Serieseasy
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Consider the series ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞​an​ where an=1n2a_n = \frac{1}{n^2}an​=n21​. If we define a new series ∑n=1∞cn\sum_{n=1}^{\infty} c_n∑n=1∞​cn​ where cn=100anc_n = 100a_ncn​=100an​, what is true about the new series?