Determine whether the given geometric series is convergent or divergent, and find the sum if it is convergent.128 - 64 + 32 - 16 + ...

A. Convergent; S = 256
B. Divergent
C. Convergent; S = 85.33
D. Convergent; S = 51.2


Answer: C

Mathematics

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Plot the point in the rectangular coordinate system.(-4, 3) 

A.

B.

C.

D.

Mathematics

Provide an appropriate response.The sum of all values divided by the number of values equals the:

A. weighted mean B. mean C. median D. mode

Mathematics

Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 10x = 4y - 53

A. vertex: (5, 7)
focus: (4, 7)
directrix: x = 6

B. vertex: (5, 7)
focus: (5, 6)
directrix: y = 8

C. vertex: (5, 7)
focus: (5, 8)
directrix: y = 6

D. vertex: (5, 7)
focus: (6, 7)
directrix: x = 4

Mathematics

Are the following two statements logically equivalent? Justify your answer.

(a) A real number is less than 1 only if its reciprocal is greater than 1. (b) Having a reciprocal greater than 1 is a sufficient condition for a real number to be less than 1.

Mathematics