Is it true that the some of rational numbers between

3,4
are

7
2

,

13
4

,

25
8

,

49

16

,

97

32

and

193

64

?

Question

Is it true that the some of rational numbers between

3,4
   are

7
    2
   
   ,
    
     13
    4
   
   ,
    
     25
    8
   
   ,
    
     49
    
     16
   
   ,
    
     97
    
     32
   
    and 
    
     193
    
     64

?

Accepted Answer

Given numbers,

3,4
  .To find whether the sum of rational numbers between

3,4
   are

7
    2
   
   ,
    
     13
    4
   
   ,
    
     25
    8
   
   ,
    
     49
    
     16
   
   ,
    
     97
    
     32
   
    and 
    
     193
    
     64

or not. The first rational number between

3
   and

4
   is,

⇒
      
       3+4
      2

⇒
      7
      2

The second rational number between

3
   and

4
   is,

⇒
      
       3+
        7
        2

2

⇒
      
       13
      4

The third rational number between

3
   and

4
   is,

⇒
      
       3+
        
         13
        4

2

⇒
      
       25
      8

The fourth rational number between

3
   and

4
   is,

⇒
      
       3+
        
         25
        8

2

⇒
      
       49
      
       16

The fifth rational number between

3
   and

4
   is,

⇒
      
       3+
        
         49
        
         16

2

⇒
      
       97
      
       32

The sixth rational number between

3
   and

4
   is,

⇒
      
       3+
        
         97
        
         32

2

⇒
      
       193
      
       64

The numbers are

7
    2
   
   ,
    
     13
    4
   
   ,
    
     25
    8
   
   ,
    
     49
    
     16
   
   ,
    
     97
    
     32
   
    and 
    
     193
    
     64

.So, the given statement is true.Hence, the correct option is 1.

Is it true that the some of rational numbers between $3, 4$ are $72, 134, 258, 4916, 9732 and 19364$ ?

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Is it true that the some of rational numbers between 3,4 are 7 2 , 13 4 , 25 8 , 49 16 , 97 32 and 193 64 ?

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Is it true that the some of rational numbers between $3, 4$ are $72, 134, 258, 4916, 9732 and 19364$ ?