vanshika9086
vanshika9086 vanshika9086
  • 21-10-2016
  • Mathematics
contestada

Find the value of 2^1/2. . 4^1/8 . 8^1/16. . 16^1/32 ..........infinity

Respuesta :

HeavenlyHelper
HeavenlyHelper HeavenlyHelper
  • 21-10-2016
tn=n/2^(n+1) tn+1=(n+1)/2n+2=n/2n+2+1/2n+2 tn+1=tn/2+1/2n+2 t2=t1/2+1/2^3 t3=t2/2+1/2^4 . . . --------------------- adding Sn-t1=Sn/2 +(1/2^3+1/2^4+.........) Sn/2=t1+(1/2^3+1/2^4....)

Sn/2=1/4+(1/2^3)(1/(1-1/2)) =1/4+1/4 Sn=1

Answer Link

Otras preguntas

list 10 processes that occur while an organism is alive, but cease when it is dead.
What is the gel like substance in a plant and animal cell?
What was Ramses the second leadership style
your body consists of 7/10 water. is more than 1/2 your body water. explain
125 thousandths = 1 tenth _______________ thousandths
What is the answer to 2c-5=c+4
Argyle has 8 t-shirts and 5 pairs of shorts that he wears with either sandals or sneakers.if all the colors and patterns coordinate how many different outfits c
what is the equivalent of 1/50 : fraction , in decimal form
which two numbers multiply to give you 100 and add to give you 10
Argyle has 8 t-shirts and 5 pairs of shorts that he wears with either sandals or sneakers.if all the colors and patterns coordinate how many different outfits c