1/2-1/4
(1/2x2)-1/4
2/4-1/4
2-1
1
1/4
Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
4 consecutive integers...z, z + 1, z + 2, z + 3
z + (z + 1) + (z + 2) + (z + 3) = 166...combine like terms
4z + 6 = 166
4z = 166 - 6
4z = 160
z = 160/4
z = 40
z + 1 = 40 + 1 = 41
z + 2 = 40 + 2 = 42
z + 3 = 40 + 3 = 43
so ur numbers are : 40,41,42,43 with the largest being 43
So, this problem is asking us to find the value of our variable
u.
How can you do this? By isolating the variable, or having only it on one side of the equals sign.
Here's the step by step approach. It's just simple algebra and reverse order of operation (which is what you should do whenever you are solving for a variable).
Multiply both sides by 11 to get rid of the 11 denominator.
Then, subtract both sides by 88 to get u by itself.
Therefore, u is equal to 99.
She drinks 1/4th of the bottle and then another 1/6th of the bottle. So he drinks 3/12+2/12 of a bottle which is 5/12