Use mathematical induction to prove that the statement is true for every positive integer n.2 is a factor of 
What will be an ideal response?
Show S1 is true: 12 - 1 + 2 = 2; 2 is a factor of 2
Assume that Sk is true: 
; 2 is a factor of k2 - k + 2
Show that if Sk is true, then Sk+1 is true:
Sk+1 = (k + 1)2 - (k + 1) + 2 = k2 + k + 2 = (k2 - k + 2) + 2k
(k2 - k + 2) is Sk and 2 is a factor of 2k
Since 2 is a factor of Sk+1 is true, the statement is true for all values of n.
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Write an inequality whose solution set is the interval.(-5, 4)
A. -5 < x > 4 B. -5 < x < 4 C. -5 ? x ? 4 D. -5 > x > 4
Solve the problem.A sequence of payments of $1600 is invested at the end of every compounding period, where interest is compounded semiannually at an interest rate of 4%. What is the total amount of the annuity after 6 years?
A. $61,459.34 B. $72,189.02 C. $21,459.34 D. $48,082.58
Identify the equation without applying a rotation of axes.4x2 - 4xy + 3y2 + 2x + 2y + 2 = 0
A. hyperbola B. parabola C. ellipse D. not a conic
Find the mean. Round to the nearest tenth when necessary.The weights in pounds of the five books in Lynn's backpack are as follows: 3.2, 2.6, 2.9, 1.1, 2
A. Mean = 2 pounds B. Mean = 1.9 pounds C. Mean = 2.4 pounds D. Mean = 2.9 pounds