Question

insert 16 rational number between 2.1 and 2.2

Answer 1

Dear Friend,
(2.1+2.2)/2=2.15
(2.15+2.1)/2=2.125
(2.15+2.2)/2=2.175
similarly finding mid value of the new numbers which are found by existing numbers we get infinite rational numbers between 2.1 and 2.2.
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Answer 2

We will apply the formula of d=y- x/n+1
Let y be 2.2 and x be 2.1 and n= 16
Then 2.2-2.1/ 16+1
0.1/17


x+d= 2.1 + 0.1 = 2.2
x+2d= 2.1+2×0.1=2.3
x+3d= 2.1+3×0.1=2.4
x+4d= 2.1+4×0.1=2.5
x+5d=2.1+5×0.1=2.6
x+6d=2.1+6×0.1=2.7
x+7d=2.1+7×0.1=2.8
x+8d=2.1+8×0.1=2.9
x+9d=2.1+9×0.1=3
x+10d=2.1+10×0.1=3.1
x+11d=2.1+11×0.1=3.2
x+12d=2.1+12×0.1=3.3
×+13d=2.1+13×0.1=3.4
x+14d=2.1+14×0.1=3.5
x+15d=2.1+15×0.1=3.6
x+16d=2.1+16×0.1=3.7


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