Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.11 + 22 + 33 + ... + 11n = 
What will be an ideal response?
First, we show the statement is true when n = 1.
For n = 1, we get 11 = 
= 11.
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 
is true and add the next term, 
to both sides of the equation.
Condition II is satisfied. As a result, the statement is true for all natural numbers n.
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Construct a list as requested.Let M = 
. List all of the ways that you can select two different members of M. The order in which you select the members is not important.
A. SP, SO, SM, PS, PO, PM, OS, OP, OM, MS, MP, MO B. SP, SO, SM, PO, PM, OM C. SS, SP, SO, SM, PP, PO, PM, OO, OM, MM D. SS, SP, SO, SM, PP, PS, PO, PM, OO, OS, OP, OM, MM, MS, MP, MO
Solve using the addition principle.m + 
= - 
A. 
B. - 
C. - 
D. 
Solve the equation.log5(x) = 3
A. 125 B. 8 C. 15 D. 243
Solve the system of equations algebraically for real values of x and y.
?
?
Please enter your answer as an ordered pair in the form (x, y).
What will be an ideal response?