Write a formula for the general term, or nth term, for the given sequence.-3, 9, -27, 81, -243, . . .

A. an = -3 + 6(n - 1)
B. an = (-1)n(3)n
C. an = (-1)n(3n)
D. an = (-1)n - 1(3)n


Answer: B

Mathematics

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There are various formulas that will generate Pythagorean triples. Use the specified formula and specified values to generate a Pythagorean triple.For positive integers r and s such that r > s, the following set of equations will generate a Pythagorean triple (a, b, c). a = r2 - s2, b = 2rs, c = r2 + s2.Use this method with the values r = 8 and s = 1 to generate a Pythagorean triple.

A. (14, 16, 18) B. (64, 15, 68) C. (63, 16, 65) D. (64, 18, 65)

Mathematics

Use your graphing calculator to graph the given function. Then provide an appropriate response.Graph f(x) = log5 x. Determine x when f(x) = 2.75. Round to the nearest tenth if necessary.

A. 55.9 B. 77.1 C. 27.1 D. 83.6

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.

A.
B.
C.
D.

Mathematics

Use your graphing calculator to find the solutions to the equation to the nearest tenth of a degree in the interval  by defining the left side and right side of the equation as functions and then finding the intersection points of their graphs. Make sure your calculator is set to degree mode. ?  sin ?- 4 = 7sin ?

What will be an ideal response?

Mathematics