Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume 
and prove 
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
Answer:
1395in^3
Step-by-step explanation:
First find the volume of the cuboid, 15in x 9in x 7in = 945in^3
Then find the volume of the rectangular pyramid using the formula V=lwh/3, the total height is 17in so subtract the height of the cuboid from the total height, giving you 10in.
V=(15in)(9in)(10in)/3 = 450in^3
450in^3 + 945in^3 = 1395in^3
Answer:
there must be at least 6 chaperones
Step-by-step explanation:
25 x 3= 75 so 2 chaperons x 3= 6 with a remainder of 5 students
Number of sides is 6- Hexagon
Sum of interior angles equation- s=(n-2)*180
s= (6-2)*180
s= 4*180
s=720
Sum is 720
Hope this is helpful
Answer:
(3,5)
Step-by-step explanation:
