<span>X+(X+1)=31
</span>x is the first number and the second number should be x+1, since they are consecutive
Answer:
The sum of the first 18 odd positive integers is 324.
Step-by-step explanation:
Given : The first 18 odd positive integers.
To find : The sum of the first 18 odd positive integers?
Solution :
The odd positive integers are 1,3,5,.... forming an Arithmetic sequence .
Where, First term is a=1
Common difference is d=2
Number of terms n=18
The sum of A.P formula is
![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)
Substitute the values in the formula,
![S_{18}=\frac{18}{2}[2(1)+(18-1)2]](https://tex.z-dn.net/?f=S_%7B18%7D%3D%5Cfrac%7B18%7D%7B2%7D%5B2%281%29%2B%2818-1%292%5D)
![S_{18}=9[2+(17)2]](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%5B2%2B%2817%292%5D)
![S_{18}=9[2+34]](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%5B2%2B34%5D)
![S_{18}=9[36]](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%5B36%5D)

Therefore, The sum of the first 18 odd positive integers is 324.
Answer:
The distance between the points is 5 units
Step-by-step explanation:
I used distance formula for the question using two points
I
Answer:

Step-by-step explanation:
<h3>Step 3:</h3>
--------------------(1)
<h3>The next step will be:</h3>
- to find the b² for the expression on the left.
<h3>How to find b²:</h3>
Take the expression

<u>We can also write it as:</u>

According to the formula
, the b of this expression is
. So,
b² will be:

So, we will add
to both sides in Eq. (1)
For STEP 4, the equation will become:

![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)