Answer:
<h3>Therefore the sum if the series is 15.98!</h3>
The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.
8⋅1/2=4
4⋅1/2=2
2⋅1/2=1 etc ...
because the absolute value of r is less than 1 we can use the following formula.
a/1−r where a is the first term and r is the common ratio
In our problem
a=8 and r=0.5
Substitute
8/1−0.5=8/0.5=16
The sum of this infinite geometric series is 16.
Also, another formula you can use that is guaranteed to work every time, no matter what, is:
Sn=a(r^n−1/r−1)
All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:
S10=8(0.5^10−1/0.5−1)
S10=15.984375
Therefore the sum if the series is 15.98!
Step-by-step explanation:
<h2>Hope it is helpful....</h2>
If someone is giving out wrong answers then simply report the answer given to you or make a comment to the answer he gave you telling him to work out the question more thoroughly before publishing it.
Answer:
Since <ABC ~= <DBE and <BAC ~= <BDE, the triangle s are similar by angle-angle.
Answer:
12.83 inch^2
Step-by-step explanation:
To calculate the area of each piece, we need to first need to calculate the area of the pizza as a whole.
Mathematically the area A of the pizza can be calculated using the formula;
A = π * r^2
where our r here is 7 in
Thus, A = 22/7 * 7 * 7 = 154 inch^2
The area of each piece of the pizza is thus 154/12 = 12.8333333 inch^2
To the nearest hundredth, this is 12.83 inch^2