Write the statements S1, S2, and S3 and determine if each statement is true.Sn: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 

What will be an ideal response?


S1:1 ? 2 
 
 2 = 2 ?
S2: 1 ? 2 + 2 ? 3 
 
 8 = 8 ?
S3: 1 ? 2 + 2 ? 3 + 3 ? 4 
 20 
 20 = 20 ?

Mathematics

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Which of the following is not the definition of dilation? ?

A. ?Dilation is a transformation from which a figure is increased or decreased in size with respect to a line of symmetry. B. ?Dilation is a transformation from which a figure is increased or decreased in size with respect to a fixed point. C. ?Dilation is a reflection at a vertical line, in which a figure is increased or decreased in size. D. ?Dilation is an increase in the size of the figure at a line of symmetry. E. ?None of the above.

Mathematics

Find all real and imaginary solutions.x2 + 7 = 0

A. {, i}
B. {±i}
C. {±}
D. {}

Mathematics

Decide whether the equation describes a function.x + 7y = 8

A. yes B. no

Mathematics

Graph the solution set of the system of inequalities or indicate that the system has no solution.x2 + y2 ? 36x + y > 1

A.
B.
C.
D.

Mathematics