Answer:1) 2n - 1
2) 99
see in the picture, u can see that the number of shaded in figures 1 through n will form an evenly spaced sequence with:
u(1) = 1
u(2) = 3
u(3) = 5
u(4) = 7
u(5) = 9
......
=> The above sequence has: u1 = 1
d = 2
=> u(n) = 1 + 2(n - 1) = 2n - 1
=> the number of shaded squares in the n figure is 2n - 1
b) the number of shaded squares in the 50th figure is 2.50 - 1 = 99
Step-by-step explanation:
The maximum "rectangle" would be a square.
So, a square 75 feet on each side would have a maximum area of 5,625 square feet.
Answer:
40
Step-by-step explanation:
14 + 12 + 8 + 6 = 40
Answer:
The Han dynasty last was, 215 years
Step-by-step explanation:
Given statement: The Han dynasty lasted from 206 B.C. to 9 A.D.
To find how many years did the dynasty last.
B.C. represents Before Christ
A.D. represents After Death
To find the difference between two dates,
- When the endings are the same you subtract
- When they are different you add
You can see that the endings in the given 206 B.C. and 9 A.D. are B.C. and A.D. are different.
Just add these 206 and 9 we get;
years
Therefore, 215 years did the Han dynasty last.