Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
What will be an ideal response?
When 
, the left side of the statement is 
, and the right side of the
statement is 
, so the statement is true when 
.
Assume the statement is true for some natural number k. Then,
.
So the statement is true for 
. Conditions I and II are satisfied; by the Principle of Mathematical Induction, the statement is true for all natural numbers.
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Solve the problem relating to the Fibonacci sequence.If a 13-inch wide rectangle is to approach the golden ratio, what should its length be?
A. 20 in B. 8 in C. 21 in D. 34 in
Solve the radical equation. Check all proposed solutions.
= y + 1
A. y = 4
B. y = -3
C. y = - 
D. y = 3
Use the quadratic formula to solve the quadratic equation.5y2 + 1 = 
y
A. 
, 
B. y = 2, 
C. 
, 
D. - 
, 
Solve.|5x - 8| = |4x - 11|
A. 
B. 
C. 
D. 