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Question Number 134208 by liberty last updated on 01/Mar/21

$$\mathrm{Determine}\mathrm{if}\mathrm{the}\mathrm{series}\underset{\mathrm{n}=1}{\sum ^{\mathrm{\infty }}}{\mathrm{a}}_{\mathrm{n}}$$$$\mathrm{by}\mathrm{the}\mathrm{formula}\mathrm{converges}\mathrm{or}$$$$\mathrm{diverges}.{\mathrm{a}}_1=7,{\mathrm{a}}_{\mathrm{n}+1}=\frac{9\mathrm{n}+3\sin \mathrm{n}}{4\mathrm{n}+5\cos \mathrm{n}}.{\mathrm{a}}_{\mathrm{n}}$$$$\left(\mathrm{a}\right)\mathrm{converges}$$$$\left(\mathrm{b}\right)\mathrm{diverges}$$$$$$

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