Use inductive reasoning to write the 6th, 7th and 12th terms of each sequence. Then write a formula for the nth term. Briefly explain your method.
(a) 3, 6, 9, 12, 15, . .
(b) 4, 7, 11, 16, 22, . . .
(c) 1/3, 2/9, 3/27, 4/81, 5/243...
(a) 7th term = 18, 12th term = 36, nth term = 3n/1, each term goes up by + 3.
(b) 7th term = 29, 12th term = 162,nth term =1/2 (n 2 + 3n + 4).
(c) 7th term = , 7/729; 12th term = , 3n
, nth term = 
You might also like to view...
Transform the equation by rotating the axes through the given angle. Identify the curve.31x2 + 10
xy + 21y2 - 144 = 0, ? = 30°
A. 
+ 
= 1; ellipse
B. 
+ 
= 1; ellipse
C. y'2 = -4
x'; parabola
D. x'2 = -4
y'; parabola
Solve the given differential equation.D2y + 6 Dy + 9y = 0
A. y = c1e-3x + c2 B. y = (c1 + c2x)e3x C. y = (c1 + c2x)e-3x D. y = ce-3x
Graph the solution set of the inequality or system of inequalities.y ? - 2x - 1x - y ? -1
A. 
B. 
C. 
D. 
Determine whether the function is one-to-one.f(x) = 
A. One-to-one B. Not one-to-one