1-2-3-4-1-3-4-5-1-4-5-6-1-5-6-7-1-6-7-8-1-12-13-14-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 148838 by liberty last updated on 31/Jul/21

(1/(2×3×4)) +(1/(3×4×5))+(1/(4×5×6))+(1/(5×6×7))+(1/(6×7×8))+...+(1/(12×13×14))=?

$$\:\frac{\mathrm{1}}{\mathrm{2}×\mathrm{3}×\mathrm{4}}\:+\frac{\mathrm{1}}{\mathrm{3}×\mathrm{4}×\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{4}×\mathrm{5}×\mathrm{6}}+\frac{\mathrm{1}}{\mathrm{5}×\mathrm{6}×\mathrm{7}}+\frac{\mathrm{1}}{\mathrm{6}×\mathrm{7}×\mathrm{8}}+…+\frac{\mathrm{1}}{\mathrm{12}×\mathrm{13}×\mathrm{14}}=? \\ $$

Commented by JDamian last updated on 31/Jul/21