Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +  +  + ... +  + ...

A. ; 3
B.
C. ; 3
D.


Answer: D

Mathematics

You might also like to view...

Use the properties of angle measures to find the measure of each marked angle.a = (2x + 8)°b = (4x - 62)°

A. 55°, 55° B. 78°, 78° C. -16°, -16° D. 35°, 35°

Mathematics

Graph the parametric equation for the given interval. Add arrows to show how the curve is traced out. x = 5 sin t, y = 5 cos t; 0 ? t ? 2?

A.

B.

C.

D.

Mathematics

Using synthetic division, determine whether the numbers are zeros of the polynomial.i, -i, 5; f(x) = x3 - 4x2 + x - 4

A. Yes; yes; no B. No; no; no C. No; no; yes D. Yes; no; no

Mathematics

A chair company produces two models of chairs, the Sequoia and the Saratoga. The Sequoia model takes 3 hours to assemble and  hour to paint. The Saratoga model takes 2 hours to assemble and 1 hour to paint.The maximum number of hours available to assemble is 24 per day and the maximum number of hours available to paint is 8 per day.

(a)If the company earns a profit of $20 per Sequoia model and $30 per Saratoga model, find the number of models produced per day in order to maximize profit. (b)If the company earns a profit of $30 per Sequoia model and $15 per Saratoga model, find the number of models produced per day in order to maximize profit. (c)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $45 per Sequoia model and $35 per Saratoga model, find the number of models produced per day in order to maximize profit. (d)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $30 per Sequoia model and $40 per Saratoga model, find the number of models produced per day in order to maximize profit.

Mathematics