Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.(1 - 
) (1 - 
) . . . (1 - 
) = 
What will be an ideal response?
First we show that the statement is true when n = 1.
For n = 1, we get 
= 
= 
.
This is a true statement and Condition I is satisfied.
Next, we assume the statement holds for some k. That is,
is true for some positive integer k.
We need to show that the statement holds for k + 1. That is, we need to show that
So we assume that (1 - 
) (1 - 
) . . . (1 - 
) = 
is true and multiply the next term, 
to both sides of the equation.
(1 - 
) (1 - 
) . . . (1 - 
)(1 - 
) = 
(1 - 
)
= 
- 
= 
- 
= 
= 
= 
Condition II is satisfied. As a result, the statement is true for all natural numbers n.
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Use the graph to evaluate the expression.(f?g)(1)
A. 6 B. 3 C. -5 D. 0
Decide whether the slope is positive, negative, zero, or undefined.
A. Negative B. Undefined C. Positive D. Zero
Find the total value of the given income stream and also find its present value (at the beginning of the given interval) using the given interest rate.
?
,
, at 11%
?
A. 
,
B. 
,
C. 
,
D. 
,
E. 
,
Provide an appropriate response.How are identities and contradictions different from equations with a unique solution?
What will be an ideal response?