Question

D)|-2|¹+|-2|²+...+|-20|²⁰=
repede,dau 50 de puncte!!​

Answer 1

Explicație pas cu pas:

${| - 2|}^{1} + {| - 2|}^{2} + ... + {| - 2|}^{20} =$

$= {2}^{1} + {2}^{2} + ... + {2}^{20}$

$= {2}^{0} + {2}^{1} + {2}^{2} + ... + {2}^{20} - 1$

$= ({2}^{21} - 1) - 1 = {2}^{21} - 2$

$= 2({2}^{20} - 1)$