Answer:
Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.
it is given by:
where a is the first term , n is the number of term and d is the common difference.
Given the series: 
here, Common difference(d) = 5
First term(a) = 49
by definition we have;
For nth term

= 5n + 44
To write the series using summation notation for 14 terms
Summation symbol 
The series for 14th terms is given by;

Answer:
Step-by-step explanation:
<u>Pool:</u>
Width = x ft
Length = (x+6) ft
<u>Pool along with walkway:</u>
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
Solving equations is a basic skill that you must master to deal with a
lot of problems in mathematics, physics, chemistry, administration,
economy, and almost every activity where you need to use a formula or a
model. to solve for h, you follow these steps: 1) multiply both sides by
2 => 2A = (a+b)h; 2) divide both sides by (b+a) => 2A/ (a+b) = h.
So the answer is: h = 2A / (a+b).
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Answer:
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Step-by-step explanation: