Prove the formula for all natural numbers n.
?
?
List the steps involved.
What will be an ideal response?
is true. However, 
is just the statement that 
, which is true.Step 2: Assuming that 
is true, we must prove that 
is true. Let's examine 
and 
.
.
is obtained by substituting k + 1 for n in Pn.
.
If we add 
to the both sides of the equation for 
, we'll get the equation for 
.
Since equation for 
follows from equation for 
, we have demonstrated that 
.
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Provide an appropriate response.If p is a prime number, is 
in simplified form? Explain.
What will be an ideal response?
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = -2x2 - 2x - 7
A. minimum; - 
B. minimum; 
C. maximum; 
D. maximum; - 
Write a sentence that expresses the relationship in the formula, using the language of variation or proportion.C = 2?r, where C is the circumference of a circle of radius r
What will be an ideal response?
Find the whole.1
% of what number of hats is 99 hats?
A. 660 B. 6600 C. 66,000 D. 1.49