4 times 22
8 times 11
1 times 88
Answer: 95metres for the length and the original cost is 2.105
Step-by-step explanation:
Let the initial length be x,
So, x+5=200/2
x+5=100
x=95
Note since the total price is the same and the original length is 95metres.
Therefore, the original cost per metre is
200/95=2.105
a. Notice that
1/(1*2) = 1/2 = 1 - 1/2
1/(2*3) = 1/6 = 1/2 - 1/3
1/(3*4) = 1/12 = 1/3 - 1/4
and so on, which suggests the n-th term of the sum can be written as
Then the sum itself is telescoping:
b. The proof is trivial:
so the formula found in (a) is correct.
Answer: A. 12x
Step-by-step explanation:
14x-(2x-y)-y
14x-2x+y-y
Simplify = 12x