Answer:
3p^3 + qp^2 - pq^2 + 3q^3
Step-by-step explanation:
(p²-pq + q²) ( 3p+ 3q)
3p^3 + 3qp^2 - 3qp^2 - 3pq^2 + 3pq^2 + 3q^3
3p^3 + qp^2 - pq^2 + 3q^3
The common ratio between terms is 3, so the sequence has general 
-th term
for 
. The term exceeds 7000 when
which means the first time 
exceeds 7000 occurs when 
. Indeed,
while the previous term would have been
Hey there,
15 : 6
It can be simplified by dividing both numbers by 3
15 : 6
5 : 2
Hope this helps :))
<em>~Top♥</em>
Hello!!!
The Graph's Answer is below
<u>Nicole's Pattern Ian's Pattern Coordinate's Plane </u>
1 0 ( 1,0)
5 1 (5,1)
17 3 (17,3)
53 7 (53,7)
161 15 (161,15)
In order to get these answers, you start with 1 one Nicole's equation, and mutliply by 3, which gets you three. You then add two, which gets you five, after this, you continue to add Nicole's answer by three, then add five.For Ian's answer,you start with 0,then you add 1/2, which gives you .5 After you have this .5 you multiply by 2,which gives you one whole, you continue to add a half and mutliply by 2 for each answer. Nicole's answer is X,which means it is used first in our parentheses ( ),while ian's is Y and is used second.
I HOPE THIS HELPS! Good luck on your assignment and let me know if you need help with anything else <3!
