knowns-x-2-2-x-1-x-3-3-x-2-x-4-4-x-3-x-5-5-x-4-x-8-8-x-7-Find-the-value-of-x-1-x-2-x-3-x-8-

Question Number 152052 by john_santu last updated on 25/Aug/21

knowns x_{2} = \frac{2}{x_{1}}, x_{3} = \frac{3}{x_{2}}, x_{4} = \frac{4}{x_{3}}

, x_{5} = \frac{5}{x_{4}}, \dots, x_{8} = \frac{8}{x_{7}} . Find the

value of x_{1} \times x_{2} \times x_{3} \times \dots \times x_{8} .

Answered by Olaf_Thorendsen last updated on 25/Aug/21

P = x_{1} x_{2} x_{3} x_{4} x_{5} x_{6} x_{7} x_{8}

P = x_{1} \frac{2}{x_{1}} x_{3} \frac{4}{x_{3}} x_{5} \frac{6}{x_{5}} x_{7} \frac{8}{x_{7}}

P = 2 \times 4 \times 6 \times 8 = 384