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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Evaluate the integral.
A. 10i + 18j + 
k
B. 10i - 18j + 
k
C. 5i - 18j + 
k
D. 10i - 18j + 
k
Solve the problem. Round to the nearest cent.Central Airlines offers a trade discount series of 35/20/5 for frequent flyers. If a round-trip airline ticket is $405, what is the net price? Use the net decimal equivalent to find the net price.
A. $200.07 B. $204.93 C. $162.00 D. $243.00
Solve.The population growth of an animal species is described by 
where t is the number of months since the species was introduced. Find the population of this species in an area 6 months after the species is introduced.
A. 240 B. 470 C. 74 D. 704
Multiply and simplify.
? 
A. 5m
B. 
C. 
D. 10