Use mathematical induction to prove the formula for every positive integer n. Show all your work.
What will be an ideal response?
. The formula is valid for n = 1.2) Assume that 
is true.
?
By mathematical induction, the formula is true for all positive integersn.
You might also like to view...
Solve the problem.Find the volume of a box with length 
in, width 
in, and height 
in.
A. 
in.3
B. 
in.3
C. 
in.3
D. 
in.3
Evaluate the integral by using a substitution prior to integration by parts.
A. x 
2 - 2x 
+ C
B. x 
2 - x 
+ x + C
C. x 
2 + 2x 
- 2x + C
D. x 
2 - 2x 
+ 2x + C
Solve the inequality. Graph the results.x - 11 < -19
A. x < -8
B. x ? -8
C. x ? -8 
D. x > -8 
Solve the problem.A furniture manufacturer decides to make a new line of desks. The table shows the profit, in thousands of dollars, for various levels of production. 
Find a quadratic function to model the data, and use the model to predict the profit if 450 chairs are made. Round to the nearest thousand.
A. $42,000 B. $44,000 C. $45,000 D. $40,000