Answer:
If (K + 1)^2 = 2n + (n^2)/2, then the answer is Yes, else No.
Step-by-step explanation:
Sum of first K + 1 odd numbers (S): 1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1).
(1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1)) + ((2K + 1) + (2K - 1) + (2K - 3) + ... + 5 + 3 + 1 ) = (2K + 2) + (2K + 2) + (2K + 2) + ... + (2K + 2) + (2K + 2) + (2K + 2) (repeat K + 1 times) = (2K + 2)(K + 1) = 2S
2S = (2K + 2)(K + 1)
S = (2K + 2)(K + 1)/2
S = (2K^2 + 4K + 2)/2
S = K^2 + 2K + 1
S = (K + 1)^2
(4n + n^2)/2 = 2n + (n^2)/2
Answer:
6 miles per gallon
Step-by-step explanation:
Given : An experimental vehicle was able to travel 3/8 miles on 1/16 gallon of water.
To Find: At this rate, what was the mileage in miles per gallon of water for this vehicle?
Solution:
Since An experimental vehicle was able to travel 3/8 miles on 1/16 gallon of water.
So, the mileage in miles per gallon of water for this vehicle:
Thus the mileage of water for this vehicle is 6 miles per gallon
Answer:
26 oranges
Step-by-step explanation:
(2330-96)/96
=23.2708
So there are 23crates where each of them can hold 96 oranges, so
(2330-96)-23x96=26, the remainder is26, so there are 26 oranges left in the last crate.
Answer:
5,3
Step-by-step explanation:
5*3=15
15*3=45
