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
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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; ?
Use the vertical line test to determine if the graph is a function.
A. Yes B. No
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
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