Answer:
-8
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
its basically saying since x equals 10 and 10 is on both sides that if you add y to both sides itll still be equal hence, addition property of equality.
Answer:
I like baseball
Step-by-step explanation:
because I like baseball
sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250
<u>Step-by-step explanation:</u>
We need to find sum of sequence : 46 + 42 + 38 + ... + (-446) + (-450)
Given sequence is an AP with following parameters as :
![a=46\\d=42-46=-4](https://tex.z-dn.net/?f=a%3D46%5C%5Cd%3D42-46%3D-4)
So , Let's calculate how many terms are there as :
⇒ ![a_n=a +(n-1)d](https://tex.z-dn.net/?f=a_n%3Da%20%2B%28n-1%29d)
⇒ ![-450=46 +(n-1)(-4)](https://tex.z-dn.net/?f=-450%3D46%20%2B%28n-1%29%28-4%29)
⇒ ![-496=(n-1)(-4)](https://tex.z-dn.net/?f=-496%3D%28n-1%29%28-4%29)
⇒ ![\frac{-496}{-4}=n-1](https://tex.z-dn.net/?f=%5Cfrac%7B-496%7D%7B-4%7D%3Dn-1)
⇒ ![124=n-1](https://tex.z-dn.net/?f=124%3Dn-1)
⇒ ![n=125](https://tex.z-dn.net/?f=n%3D125)
Sum of an AP is :
⇒ ![S_n = \frac{n}{2}(2a+(n-1)d)](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%282a%2B%28n-1%29d%29)
⇒ ![S_1_2_5 = \frac{125}{2}(2(46)+(125-1)(-4))](https://tex.z-dn.net/?f=S_1_2_5%20%3D%20%5Cfrac%7B125%7D%7B2%7D%282%2846%29%2B%28125-1%29%28-4%29%29)
⇒ ![S_1_2_5 = \frac{125}{2}(-404)](https://tex.z-dn.net/?f=S_1_2_5%20%3D%20%5Cfrac%7B125%7D%7B2%7D%28-404%29)
⇒ ![S_1_2_5 =-25,250](https://tex.z-dn.net/?f=S_1_2_5%20%3D-25%2C250)
Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250