Answer:
Sum of 100 terms of the sequence = 15050
Step-by-step explanation:
Given expression which represents a sequence is,

So the sequence will be,
2, 5, 8, 11, 14..........
So, the given sequence is an arithmetic sequence with,
First term of the sequence 'a' = 2
Common difference 'd' = 5 - 2 = 3
Sum of 'n' terms of an arithmetic sequence is given by,
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Here, n = number of terms
a = first term
d = common difference
= ![\frac{100}{2}[2(2)+(100-1)(3)]](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B2%7D%5B2%282%29%2B%28100-1%29%283%29%5D)
= 50[4 + 297]
= 15050
Therefore, sum of 100 terms of the sequence = 15050
Answer:
a
Step-by-step explanation:
Answer:

Step-by-step explanation:
The midpoint formula is:

where (x₁, y₁) and (x₂, y₂) are the points are the endpoints.
We are given the points: (2,4) and (6,8). Therefore,

Substitute the values into the formula.

Find the x coordinate first.
- Add 2 and 6: 2+6=8
- Divide by 2: 8/2=4

Find the y-coordinate next.
- Add 4 and 8: 4+8= 12
- Divide by 2: 12/2=6

The midpoint of EF is (4,6)
Answer:
A. (-4, -3)
B. (5, 3)
C. (-1, 3)
Step-by-step explanation:
Ok, bear with me, its been a while since I have done this so make sure you double check.
A. So, we already know where point A is(1,-3) and we need that to find B
It says we need a reflection which is basically mirroring it across the y-axis(note: if it were across the x-axis then this would turn out much differently.)
Its hard to explain but i will tell you that reflecting point A will give us (-1, -3)
Now we need to translate it 3 units to the left
<u>(-4, -3)</u>
B. Ok, next we have point C which is a reflection using the x-axis (now you will see how important it is to make sure you are reflecting in the right place.) Over the x-axis, will give us (1, 3).
Now we need to translate to the right... (5, 3)
C. Point D... we need to rotate it. Now, rotating is a little bit more work than reflecting and translating but its not hard.
since we are rotating 180 degrees then we are basically just turning it around halfway from 360...
A is (1, -3) so D would be (-1, 3)
Hope this helps :)
Answer:
9
Step-by-step explanation: