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a= initial point

b=final point

n= numbers of rectangles

how to find endpoints ?

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Maybe it's just me, but I can't make head or tail of this. Could you elaborate? – t.b. Feb 5 '11 at 8:20
Are you trying to find an expression for the right endpoints of the subintervals when constructing a Riemann sum? – Mike Spivey Feb 5 '11 at 11:01

closed as not a real question by Zev Chonoles Jul 14 '12 at 20:31

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, see the FAQ.

1 Answer

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Let's suppose you are asking how to divide an interval from $a$ to $b$ with $a<b$ into $n$ equal subintervals. Then each subinterval has length $\frac{b-a}{n}$ and the endpoints of the intervals are at $$a+j\frac{b-a}{n} = \dfrac{a(n-j)+bj}{n}$$ with $j=0,1,2,...n$. When $j=0$ this gives $a$, and when $j=n$ it gives $b$.

Are you asking something more complicated?

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