Use mathematical induction to prove that (–3) + (–1) + 1 + 3 + . . . + (2n – 5) = n(n – 4), n any positive integer.

What will be an ideal response?


Mathematics

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Find an equation of variation if the following conditions exist.y varies directly as x, and y = 13 when x = 17

A. y = x
B. y = x
C. y = 
D. y = x

Mathematics

Convert the units using unit fractions.36,960 ft =  mi

A. 7.5 B. 184.8 C. 7 D. 8

Mathematics

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r.Find a8 when a1 = 40,000, r = -0.1.

A. -0.004 B. 0.004 C. 0.0004 D. -0.04

Mathematics

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = (x + 6)3 + 5

A.

B.

C.

D.

Mathematics