Given :




Let's solve by using midpoint formula :










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-0.258 is a decimal number in which 2 is at the tenth place, 5 is at the hundredth place and 8 is at the thousandth place.
Therefore, the number in the fraction form is -
The fraction in the simplest form is -
-0.312 is a decimal number and its fraction form is - 
The fraction in the simplest form is 
-2.32 is a decimal number and its fraction in the simplest form is

-1.64 is a decimal number and its mixed number in the simplest form is 
6.012 is a decimal number and the number in mixed number form is 
-12.405 is a decimal number and the number in mixed number form is

The answer would be X= -2,-8
Here,
Third term (a) = 5
Seventh term (b) = 9
17th number = ?
Now,
T3 = a + 2d
5 = a + 2d
d = (5 - a)/2 ------ 1.
T7 = a + 6d
9 = a + 6d
d = (9 - a)/6 ------- 2.
Combining eq (1) and (2)
or, (5 - a)/2 = (9 - a)/6
or, 6 (5 - a) = 2 (9 -a)
or, 30 - 6a = 18 - 2a
or, 12 = 4a
◆ a = 3
putting the value of a in eq (1)
or, d = (5 - 3)/2
or, d = 2/2
◆ d = 1
Then,
T17 = a + 16d
= 3 + 16
= 19
◆ T17 = 19
I hope you understand...
This is Right answer...
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