Provide an appropriate response.Why is it not possible to have a sequence with alternating signs that is an arithmetic sequence?
What will be an ideal response?
Answers may vary. One possibility: If three consecutive terms of such a sequence are considered, the difference between the first and second terms differs in sign from the difference between the second and third terms. In an arithmetic sequence, each term after the first differs from the preceding term by a constant amount.
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Use Newton's method to approximate all the intersection points of the pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. Round to six decimal places.y = ln(x + 2) and y = x3
A. x ? 0.535518 B. x ? 1.288018 C. x ? 1.035518 D. x ? 0.278018
Write the percent as a decimal.60%
A. 0.6 B. 6 C. 0.06 D. 0.49
Plot the ordered pair. State in which quadrant or on which axis the point lies.(-2, -1)
A. quadrant III
B. quadrant II
C. quadrant III
D. quadrant IV
Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x3 + 6x2 - 3x - 18
A. -, multiplicity 2; -3; f(x) = (x +
) 2(x + 3)
B. -6, -3, 3; f(x) = (x + 6)(x + 3)(x - 3)
C. -, multiplicity 2; -
, multiplicity 2; f(x) = (x +
) 2(x +
)2
D. -6, -,
; f(x) = (x + 6)(x +
)(x -
)