Question

FIND THE RATIONAL NUMBERS​

Answer 1

Rest of it, do it yourself by checking the procedure.

Answer 2

Step-by-step explanation:

1. Let x = - 3

Y = 1

N= 1 + 1

Now,

• D= y-x / n+1
• D = 1 - (- 1)/1 + 1
• D = 1+1 = 2

Now, x + d

= - 3 + 1

= - 2 answer

2. Let x = - 2 ( less than 2)

Y = 2

N= 5 + 1

Now, D = y - x / N + 1

• D = 2 - ( - 2) /5+ 1
• D = 4/ 6 = 2/ 3

Now, x + d, x + 2d, x + 3d, x +4d, x+5d

• -2 + 2/3, - 2 +2×2/3, -2±3×2/3,-2+4×2/3, -2±5×2/3
• - 4 /3, - 2/3, 0/3, 2/3, 4/3 answer.

3.Let x = - 2/9

Y= 5/9

N = 2 + 1

Now,

• D = y - x/n+1
• D = 5/9 - (-2/9)/ 3
• D =7/9/3
• D = 7/9 ×1/3
• D=7/27

Now,

X+d, x+ 2d

• -2/9 +7/27, - 6+2×7/27
• 1 /27, 8/27 answer

Hope it is helpful and others you can do it using same formula but remember that x= smaller no. Y = larger no. And n = numbers of rational no. To find