monkeybizz2021trey monkeybizz2021trey

14-08-2014
Mathematics

Answered

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

Verified Answer :

Anonymous Anonymous

14-08-2014

\(100-99+98-97+96-95+...+8-7+6-5+4-3+2-1\\\\=(100-99)+(98-97)+(96-95)+...+(4-3)+(2-1)\\\\=\underbrace{1+1+1+...+1}_{50}=\fbox{50}\)

View image Anonymous

Answer Link

kate200468 kate200468

14-08-2014

\(x=100-99+98-97+96-95+...+8-7+6-5+4-3+2-1=\\\\=1+1+1+...+1+1+1+1=1\cdot n=n\\\\and\ \ \ 2=100-2\cdot(n-1)\ \ \ \Rightarrow\ \ \ 2n=100\ /:2\ \ \ \Rightarrow\ \ \ n=50\\\\x=50\)

Answer Link

Related Questions

Tale of Two Cities Which describes the conflict Mr Lorry faces when Dr Manette is released from prison in the bastille AMr Lorry must tell Lucie Manette that he

The sum of two numbers is 361 and the difference between the two numbers is 173 What are the two numbers

Describe all the possible locations for the graph of xy if x2

distributive property of 54 divided by 30

36 is 12 percent of what number

The perimeter of a rectangle is 256 m The length is 16 m greater than the width What is the width of the rectangle

how can there be more than 1000 different atoms when there are only about 100 different elements

in the multiplication facts for 8 which digit will not be in the one places of the products

Which course of action does the theory of laissez faire suggest a government should follow

what does dkpcofgs stand for