Answered

Get the answers you've been looking for with the help of IDNLearn.com's expert community. Discover detailed answers to your questions with our extensive database of expert knowledge.

100-99+98-97+96-95+...+8-7+6-5+4-3+2-1

Sagot :

[tex]100-99+98-97+96-95+...+8-7+6-5+4-3+2-1\\\\=(100-99)+(98-97)+(96-95)+...+(4-3)+(2-1)\\\\=\underbrace{1+1+1+...+1}_{50}=\fbox{50}[/tex]
View image Аноним
Kate200468idn
[tex]x=100-99+98-97+96-95+...+8-7+6-5+4-3+2-1=\\\\=1+1+1+...+1+1+1+1=1\cdot n=n\\\\and\ \ \ 2=100-2\cdot(n-1)\ \ \ \Rightarrow\ \ \ 2n=100\ /:2\ \ \ \Rightarrow\ \ \ n=50\\\\x=50[/tex]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.