Answer:
equation has no solutions
Step-by-step explanation:
4p - 6= 3 +4p (subtract 4p from both sides)
-6 = 3
As you can see, -6 is obviously not equal to 3, hence we can conclude that the equation has no solutions.
Answer:
![a_1=7](https://tex.z-dn.net/?f=a_1%3D7)
![a_2=7\\a_3=10\\a_4=13\\a_5=16](https://tex.z-dn.net/?f=a_2%3D7%5C%5Ca_3%3D10%5C%5Ca_4%3D13%5C%5Ca_5%3D16)
Step-by-step explanation:
The arithmetic series is ![S_{5}=\sum_{k=1}^5(1+3k)](https://tex.z-dn.net/?f=S_%7B5%7D%3D%5Csum_%7Bk%3D1%7D%5E5%281%2B3k%29)
From the given series the general term of the series is ![a_k=1+3k](https://tex.z-dn.net/?f=a_k%3D1%2B3k)
When
, we substitute into the general formula to get:
![a_1=1+3(1)=4](https://tex.z-dn.net/?f=a_1%3D1%2B3%281%29%3D4)
When k=2, we get: ![a_2=1+3(2)=7](https://tex.z-dn.net/?f=a_2%3D1%2B3%282%29%3D7)
When k=3, we substitute to get:
![a_3=1+3(3)=10](https://tex.z-dn.net/?f=a_3%3D1%2B3%283%29%3D10)
When k=4, we substitute to get:
![a_4=1+3(4)=13](https://tex.z-dn.net/?f=a_4%3D1%2B3%284%29%3D13)
When k=5, we get:
![a_5=1+3(5)=16](https://tex.z-dn.net/?f=a_5%3D1%2B3%285%29%3D16)
Answer:
24 people.
Step-by-step explanation: If each group has to have 8 or 12 groups 24 is the smallest common multiple for both numbers.