Question

write four more rational number by following pattern -1/6 ,2/-12,3/-18,4/-24​

Answer 1

• Given some rational number ( negative integers ) which is as follows

$\red{ \frac{ - 1}{6} \: \frac{ - 2}{12} \frac{ - 3}{18} \: \frac{ - 4}{24} }$

So ,the Question us to find the next four rational number of this series which follows the patter ✓

$\bold{let \: us \: first \: find \: the \: pattern}$

✓

We can see from the above samples of rational numbers All the denominator is the multiple of 6 that is

$= > 1st \: - 6 \times 1 \\ = > 2nd - 6 \times 2 \\ = > 3rd - 6 \times 3 \\ = > 4th - 6 \times 4$

So by this pattern we have to find the next four rational numbers ✓

So we will follow the denominator as the next multiple of 6 ( I,e starting from (6×5 ) to (6×8)

$\bold{ \frac{ - 1}{6 \times 5} \: \: \frac{ - 1}{6 \times 6} \: \: \: \frac{ - 1}{6 \times 7} \: \: \: \frac{ - 1}{6 \times 8} } \\ \\ the \: numbers \: are \: \\ \\ \red{ \bold{ = > 5st - > \frac{ -1 }{30} }} \\ \\ \\ \red{ = > \bold{6th - > \frac{ - 1}{36} }} \\ \\ \red{ \bold{ = >7th - > \frac{ -1 }{42} }} \\ \\ \red{ \bold{ = > 8th - > \frac{ - 1}{48} }}$

Answer 2

Step-by-step explanation:

6×5

−1

6×6

−1

6×7

−1

6×8

−1

thenumbersare

=>5st−>

30

−1

=>6th−>

36

−1

=>7th−>

42

−1

=>8th−>

48

−1