Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.5 -  +  -  + ... + (-1)n-1  + ...

A. ; 10
B.
C.
D. ; 10


Answer: C

Mathematics

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Solve the problem.Determine the measure of the angle in each point of the six-pointed star appearing on police badges and vehicles. (Hint: Inscribe the star in a circle, and use the following theorem from geometry: An angle whose vertex lies on the circumference of a circle is equal to half the central angle that cuts off the same arc. See the figure.)

A. 45° B. 60° C. 75° D. 90°

Mathematics

Use synthetic division to divide the first polynomial by the second.x5 - 3x4 - 13x3 + x2 - x + 130x + 3

A. x4 - 6x3 + 5x2 - 15x + 41 + 
B. x4 - 6x3 + 5x2 - 15x - 42 + 
C. x4 - 6x3 + 5x2 - 14x - 41 + 
D. x4 - 6x3 + 5x2 - 14x + 41 + 

Mathematics

Determine any local or absolute extrema as indicated.g(x) = -|x + 8|

A. Local minimum: 0; absolute minimum: 0 B. Local maximum: -8; absolute maximum: -8 C. Local maximum: 8; absolute maximum: 8 D. Local maximum: 0; absolute maximum: 0

Mathematics

Find the function value.Find cos , given that cos ? = -  and 90° < ? < 180°.

A.
B. - 
C.
D. - 

Mathematics