help solving this

ibrahim

New member
Joined
Apr 19, 2013
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14
x=(2^n)(1/20)^2(19/20)^n-2
n=4
find t for the following?
t=[FONT=MathJax_Size1]∑[/FONT][FONT=MathJax_Main]∞[/FONT][FONT=MathJax_Math]i[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Math]20*i*x[/FONT]


 
I cannot understand the notation. Please give it another go.
 
I cannot understand the notation. Please give it another go.

if x=(2^n)(1/20)^2(19/20)^(n-2)

n=4

t=[FONT=MathJax_Size1]∑ [[/FONT][FONT=MathJax_Math]i[/FONT][FONT=MathJax_Main]=1, [/FONT][FONT=MathJax_Main]∞][/FONT][FONT=MathJax_Math]20*i*x
what is the value of t?
[/FONT]
 

if x=(2^n)(1/20)^2(19/20)^(n-2)

n=4

t=[FONT=MathJax_Size1]∑ [[/FONT][FONT=MathJax_Math]i[/FONT][FONT=MathJax_Main]=1, [/FONT][FONT=MathJax_Main]∞][/FONT][FONT=MathJax_Math]20*i*x
what is the value of t?
[/FONT]

x nor 20 depend on i, so:

\(\displaystyle t = 20x\sum_{i=1}^{\infty} i\)

Obviously this sum does not converge.
 
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