The answer is: " 312.5 " .
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<u>Note</u>: In the pattern given, each number is multipled by "5" to get to the number consecutive number.
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The pattern given is:
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" 0.5, 2.5, 12.5, 62.5, ____, ....." ;
Note: The first number in the pattern given is: "0.5" .
"0.5 * 5 = 2.5" ; and "2.5" is the second number in the pattern.
"2.5 * 5 = 12.5" ; and "12.5" is the third number in the pattern.
"12.5 * 5 = 62.5" ; and "62.5" is the fourth number (and final number SHOWN in the pattern).
To find the next number, we multiply "62.5" by "5" ; to get: "312.5" .
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Answer:

The center is:
(2, -4)
Step-by-step explanation:
We have the following equation

The general equation of a circle has the following form

Where r is the radius and the point (h, k) is the center of the circle
To transform the given equation in the general equation of a circumference we must use the method of square completions
Step 1

<u>Step 2</u>
<u> </u>Add and subtract
For an equation of the form


<u>Step 3 </u> Factor the expressions within the parentheses

<u>Step 4 Simplify</u>


Finally

The center is:
(2, -4)
Answer:
-2a^5+4a^4+5a^3+2/3a ---- apex
Step-by-step explanation: