Question

find 10 rational number between -2/9 and 5/9​

Answer 1

Answer :-

10 rational numbers between -2/9 and 5/9 is

3/18, -1/36, 5/72 , 3/144, 13/288, 19/576, 45/1152 , 83/2304, 173/4608 , 24597/82944

step by step explanation:

for 1st rational number ( rn) = (-2/9 +

5/9 )/2

= 3/18

for 2nd rn =( -2/9+ 3/18)/2

= -1/36

for 3rd rn =( -1/36 + 3/18)/2

= 5/72

for 4th rn =( -1/36 + 5/72)/2

= 3/144

for 5th rn = (5/72+ 3/144)/2

= 13/ 288

for 6th rn = (3/144 + 13/ 288)/2

= 19/ 576

for 7th rn = ( 13/288 + 19 /576)/2

= 45/ 1152

for 8th rn = (19/576+ 45/1152)/2

= 83/2304

for 9th rn = ( 45/1152+ 83/2304)/2

= 173/4608

for 10th rn = ( 173/4608+ 5/9)/2

= 24597/82944

in all steps the formula used is (a+b)/2

I hope this will helps u ⭐⭐⭐⭐⭐⭐⭐⭐

Answer 2

Answer:

I hope it will help you good evening