Answer:
Step-by-step explanation:
will form a sequence as,
499, 498, 497.......7 terms
Since there is a common difference between successive and previous term,
d = 498 - 499 = -1
This sequence is an arithmetic sequence.
Sum of n terms of an arithmetic sequence is,
![S_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
where a = first term of the sequence
n = number of term
d = common difference
For the given given sequence,
![S_{7}=\frac{7}{2}[2(499)+(7-1)(-1)]](https://tex.z-dn.net/?f=S_%7B7%7D%3D%5Cfrac%7B7%7D%7B2%7D%5B2%28499%29%2B%287-1%29%28-1%29%5D)
= ![\frac{7}{2}[998-6]](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%5B998-6%5D)
= 
= 3472
Therefore, sum of seven terms of the given sequence will be 3472.
Answer:
Provided in the picture below.
Step-by-step explanation:
Provided in the picture below.
A plane is a flat surface with no thickness. Our world has three dimensions, but there are only two dementions on a plane: length and width make a plane. x and y also make a plane.
Answer:
x = 2
UV = 9 ft
VW = 6 ft
WU = 5 ft
Step-by-step explanation:
The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:
P = UV + VW + WU
Now, we can substitute the values which we have:
20 = 4x + 1 + 8 - x + 2x + 1
We can combine like terms...
20 = 5x + 10
5x = 10
x = 2
Since UV is represented by 4x + 1, we can substitute in x to find its length.
UV = 4x + 1
UV = 4(2) + 1
UV = 6 + 1
UV = 9
We can do the same for the other two sides:
VW = 8 - x
VW = 8 - 2
VW = 6
WU = 2x + 1
WU = 2(2) + 1
WU = 4 + 1
WU = 5
