The 
th number in the sequence can be expressed as
Extracting the th term from the sum gives
and 
. 3 divides both 12 and 21, so 
and 21 contribute no remainder.
This leaves us with
Recall that a decimal integer is divisible by 3 if its digits add to a multiple of 3. The digits in 
are 
copies of 2 and one 0, so the digital sum is 
.
- If
for 
, then the digital sum is 
, which is not divisible by 3. - If
, then the sum is 
, which is not divisible by 3. - If
, then the sum is 
, which is always divisble by 3.
This means that roughly 1/3 of the first numbers in this sequence are divisible by 3; among the first 100 terms, they occur for 
, of which there are 33.
R / (r + g) = 1/5 === 5r = r + g === 4r = g
<span>(r + 5) / (r + 5 + g) = 1/3 --- 3r + 15 = r + 5 + g </span>
<span>2r = g - 10 ... 4r = 2g - 20 </span>
<span>g = 2g - 20 </span>
<span>g = 20 .... 4r = g ... r = 5 </span>
<span>20 green and 5 red </span>
Answer:
isulat nyo po Yung tanong
Answer:
3x² + x - 3
Step-by-step explanation:
The way I like to do it is to get rid of the x's and just use the numbers in the case of synthetic division
Pretend the square root of the division symbol
-4 √ 3 12 1 -12
Quick note: We're dividing by -4 because we're dividing by x + 4
First bring down the 3
-4 √ 3 13 1 -12
3
Multiply it by 4 then bring add it to the next number
-4 √ 3 13 1 -12
-12
3 1
Add that number to the next one
-4 √ 3 13 1 -12
-12 -4
3 1 -3
Finally repeat the step for the last number
-4 √ 3 13 1 -12
3 -12 -4 +12
3 1 -3 0
Now take those bottom numbers and add back the x's but with one less power, so the starting x³ would now become x², x² would become x, and so on
3x² + 1x - 3
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.
After flipping positions/eliminating the negative exponents it should look like this:
which simplifies to
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
which simplifies to
Final Answer: - \frac{1}{32} [/tex]
