The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
Answer:
The number of students who liked the book was 64.
Step-by-step explanation:
After reading a book for English class, 100 students were asked whether or not they enjoyed it.
Now, given that nine twenty-fifths of the class did not like the book.
So, 
of the whole class did not like the book.
Then, the fraction of the class who did like the book was 
.
Therefore, the number of students who liked the book was 
. (Answer)
Side of the room = x.
From the right triangle, where sides of the square are legs of the right triangle, and the diagonal of the square is a hypotenuse of the right triangle.
x²+x²=6²
2x²=36
x²=18
x=√18 =√(2*9)=3√2≈4.2m
468=40x+18(x-3)
468=40x+18x-54
468=58x-54
522=58x
9=x
I'm not sure if you need to know x at all, if not, the top equation is all you need.
1/2^-2 Can be written as 2^2
Therefore , 2×2=4
