For alln∈N≥1(son≥1), and usingweakinduction, prove that:n∑i=1i3=[n(n+ 1)2]2Note that this result means that the sum of t
he third powers of the first strictly positive integers is equal to the sum of the same integers, squared=
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Please note that in such questions, the ":" stands for ratio which in turn stands for divide. Thus, the given expression which is:
will become:
.....(Equation 1)
Now, we know that 3.8 can be rewritten as . Also, we know that the mixed fraction
can be re-written as:
Using the above two expressions in (Equation 1) we get:
Cross-multiplication gives:
Or c=0.25
Thus, we may write the value of c as either the decimal 0.25 or the fraction .
When a function is reflected, it must be reflected over a line
The new function is:
The equation is given as:
The rule of reflection over the y-axis is:
So, we have:
Rewrite as:
Hence, the new function is:
Read more about reflections at: