manganellicaitl
manganellicaitl
24-05-2017
Mathematics
contestada
s12 for the series 1+2+4+8+
Respuesta :
LammettHash
LammettHash
24-05-2017
[tex]S_{12}=1+2+4+8+\cdots+2048[/tex]
[tex]S_{12}=2^0+2^1+\cdots+2^{11}[/tex]
[tex]2S_{12}=2^1+2^2+\cdots+2^{12}[/tex]
[tex]\implies S_{12}-2S_{12}=2^0-2^{12}[/tex]
[tex]-S_{12}=1-2^{12}[/tex]
[tex]S_{12}=2^{12}-1[/tex]
[tex]S_{12}=4096-1=4095[/tex]
Answer Link
VER TODAS LAS RESPUESTAS ( 53+ )
Otras preguntas
What is not a requirement of the binomial probability distribution?
Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 + 8) ^ 2 sqrt(21) . sqrt(13 + 8) E
Plz help with this easy qustion and explain
Does anybody know how to do this. help!
Literature in play form is also known as __________. drama nonfiction prose fiction prose poetry
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.02 before the discount, and they leave a 20% tip. If the ti
Why can the graph below not be written in intercept form?
Are viral infections curable? Why or why not?
Prompt Write a short essay comparing the roles of patricians, plebeians, women, children, and enslaved people in the Roman Republic Read More >>
Find the vertices and foci of the hyperbola with equation quantity x plus 2 squared divided by 144 minus the quantity of y minus 4 squared divided by 81 = 1.
