find two rational number number1and2. using mean method
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find two rational number number1and2. using mean method
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Answer:
4/3 , 5/3
Working rule :
★ Let the smaller number be x and greater number be y .
★ Then find the common difference d using the formula ; d = (y - x)/(n + 1) , where n is the number of Rational numbers to be found between x and y .
★ The the required rational numbers will be given as ;
1st rational no. = x + d
2nd rational no. = x + 2d
3rd rational no. = x + 3d
:
:
nth rational no. = x + nd
Solution:
Here,
We need to find two rational numbers between 1 and 2 .
Thus,
x = 1 , y = 2 , n = 2
Now,
=> d = (y - x)/(n + 1)
=> d = (2 - 1) / (2 + 1)
=> d = 1/3
Thus,
The required rational numbers will be ;
• 1st rational number = x + d
= 1+ 1/3
= (3 + 1)/3
= 4/3
• 2nd rational number = x + 2d
= 1/4 + 2/3
= (3 + 2)/3
= 5/3
Hence,
The required rational numbers are :
4/3 , 5/3