Write in set builder form {3,7/3,13/7}
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Given : {3,7/3,13/7}
To Find : Write in set builder form
Solution:
A = {3,7/3,13/7}
3 = 3/1 = (2² - 1) /(1² - 0)
7/3 = ( 3² - 2) / ( 2² - 1)
13/7 = ( 4² - 3) / ( 3² - 2)
((n + 1)² - n ) / (n² - (n - 1)) = (n² + n + 1) / (n² - n + 1)
A = { (n² + n + 1) / (n² - n + 1) : n ∈ N , n ≤ 3 }
set builder form = { (n² + n + 1) / (n² - n + 1) : n ∈ N , n ≤ 3 }
Learn More:
set builder form of even number less than 100 - Brainly.in
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then write 'A' in set builder form
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