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;

U have a 90% chance of picking an orange marble, 10% of picking a different color
Answer:
Are you sure it ia not x2 - x1 in the denominator?
Answer:
343 meters.
Step-by-step explanation:
Since, both the shapes are similar, their sides are also similar.
21 / 24 = 49 / w
1 / 7 = 49 / w
w = 7 * 49
w = 343
Answer:
970m^{2}
Step-by-step explanation:
This polygon can be divided in two figures: one is a triangle, an the other one is a square.
We'll begin calculating the triangle's area, using the following formula:

Where:


As you can see, I added both sides of the triangle that measure 9 m and also the lenght of the square that measures 20 m! This added up is what the base of the triangle measures on total.



Now we are going to calculate the square's area, that is much more simple:

Where:


To know the whole figure's area, we add up both areas:
