sigma notation problem

Nitai

New member
Joined
Feb 2, 2006
Messages
1
How do you write the equation
S=0.6(1.5^2+1.5^2.6'1.5^2.3+1.5^3.2+1.5^3.8+1.5^4.4)
using Sigma Notaion?
and what is the domain of the variable?
and how can i tell if they were summing left or right handed rectangles when figuring out the area under the curve?
 
\(\displaystyle \L
\sum\limits_{k = 0}^4 {\left( {.6} \right)\left( {1.5} \right)^{2 + .6k} }\)
 
Hello, Nitai!

Is there more to the problem?
    \displaystyle \;\;Without more information, there are no unique answers.

How do you write: \(\displaystyle \L\,S\;=\;0.6\left(1.5^2\,+\,1.5^{2.6}\,+\,1.5^{3.2}\,+\,1.5^{3.8}\,+\,1.5^{4.4}\right)\) using Sigma Notaion?
pka gave one possible answer . . .

I have another: \(\displaystyle \L\,\sum^5_{k=1}(0.6)(1.5)^{1.4+0.6k}\)


What is the domain of the variable?
pka's domain is: {0,1,2,3,4}\displaystyle \{0,\, 1,\, 2,\, 3,\, 4\} . . . mine is: {1,2,3,4,5}\displaystyle \{1,\, 2,\, 3,\, 4,\, 5\}


and how can i tell if they were summing left- or right-handed rectangles
when figuring out the area under the curve?
Assuming that the inverval is [0,5]\displaystyle [0,\,5],

    \displaystyle \;\;pka is summing left-endpoints;

    \displaystyle \;\;I am summing right endpoints.
 
In any event, wouldn’t the interval be [2,5]\displaystyle [2,5] or [1.4,4.4]\displaystyle [1.4,4.4]???
 
Top