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blondinia [14]
3 years ago
6

4 4/9 simplified into the smallest from

Mathematics
1 answer:
Rasek [7]3 years ago
3 0
1/9 maybe possible go with the best choice
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1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
Natalka [10]

Answer:

  24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

3 0
3 years ago
I NEED HELP WITH THIS!! I WILL OFFER BRAINLIEST FOR THE BEST ANSWER! HOWEVER, ANY ABSURD ANSWERS WILL BE REPORTED!!
marusya05 [52]
The answer is B I believe
5 0
2 years ago
A bag of dog food contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog
leva [86]

Answer: you keep adding 2 and 1/3 to get your answer. 18 day so the dog food should last up to 18days hope this helps

Dont take my word not 100% sure

3 0
3 years ago
Lorenzo went to the store with 20$. He bought some cans of soup for 2$ each and a gallon of milk for 3$. He had 1$ left over.
Dominik [7]
2s + 3 = 19
2s = 16
s = 8
He can buy 8 cans of soup.
5 0
3 years ago
What is 2-2? i dont know
12345 [234]
I think 0? Correct me if I’m wrong

5 0
3 years ago
Read 2 more answers
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