The sum of the series is 44.
Step-by-step explanation:
The given series is
To find the sum of the series, we need to substitute the values for k in the series.
Now, simplifying the square terms, we get,
Multiplying the terms,
Subtracting the values within the bracket term, we get,
Now, adding all the terms, we get the sum of the series,
Thus, the sum of the series is
Answer:
Step-by-step explanation:
We have:
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
Zero Product Property:
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.
So, our solution is:
And we're done!