Sigma Notation and Limits of Sums Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Write the sum without sigma notation and then evaluate the sum.

(2) Write the sum without sigma notation and then evaluate the sum.

(3) Rewrite the expression in sigma notation.

(4) Which formula is not equivalent to the other two?

(5) Rewrite the sum using sigma notation

(6) Rewrite the sum using sigma notation

(7) Suppose that and Find the values of (a) , (b) , (c) , and (d)

(8) Evaluate the sum

(9) Evaluate the sum

(10) Evaluate the sum

(11) Graph the function over the interval Partition the interval into four subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum given that is the (a) left-hand endpoint, (b) right-hand endpoint, (c) the midpoint of the -th subinterval . Make a separate sketch for each set of rectangles.  

(12) Graph the function over the interval Partition the interval into four subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum given that is the (a) left-hand endpoint, (b) right-hand endpoint, (c) the midpoint of the -th subinterval . Make a separate sketch for each set of rectangles.  

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Sigma Notation And Limits Of Sums Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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