Find-the-sum-of-the-first-16th-term-of-the-series-3-1-2-4-3-4-6-7-1-4-

Question Number 192443 by Mastermind last updated on 18/May/23

$$\mathrm{Find}\:\mathrm{the}\:\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:\mathrm{16th}\:\mathrm{term} \\ $$$$\:\mathrm{of}\:\mathrm{the}\:\mathrm{series}\:\mathrm{3}\frac{\mathrm{1}}{\mathrm{2}}\:+\:\mathrm{4}\frac{\mathrm{3}}{\mathrm{4}}\:+\:\mathrm{6}\:+\:\mathrm{7}\frac{\mathrm{1}}{\mathrm{4}}\:… \\ $$

Answered by AST last updated on 18/May/23

$${S}_{\mathrm{16}} =\mathrm{8}\left(\mathrm{7}+\frac{\mathrm{75}}{\mathrm{4}}\right)=\mathrm{56}+\mathrm{150}=\mathrm{206} \\ $$

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