Find the values of x for which the geometric series converges.

A. -1 < x < 19
B. 1 < x < 19
C. -14 < x < 14
D. 4 < x < 14


Answer: D

Mathematics

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Solve the system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. {(-5, 0)}
B. infinitely many solutions; { y = -5} or { y = 0}
C. {(0, -5)}
D. no solution; ?

Mathematics

Use the vertical line test to determine if the graph is a function.

A. Yes B. No

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Use the recursive definition of summation together with mathematical induction to prove that for all positive integers n, if a1, a2, . . . , an and b1, b2, . . . , bn are real numbers, then

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Solve the equation. If the solutions involve square roots, give both the exact solutions and the approximate solutions to three decimal places.5n2 = -8n - 1

A.  ? 0.117,  ? -1.717
B.  ? -0.937,  ? -2.263
C.  ? -0.137,  ? -1.463
D.  ? -0.068,  ? -0.732

Mathematics