Where did 2.4 come from?

The sequence has the pattern below 12/1 = 12 12/2 = 6 12/3 = 4 12/4 = 3 12/5 = 2.4 We can guess that the 6th term must be 12/6 or 2

Because

$12 \times \frac{1}{2}=6$ ,

$6 \times \frac{2}{3}=4$ ,

$4 \times \frac{3}{4}=3$ ,

$3 \times \frac{4}{5}=\frac{12}{5}$ ,

$\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}$ the next is $\frac{5}{6}$ .

So,the $6th$ term is $\frac{12}{5} \times \frac{5}{6} =\boxed{2}$

From the second term, the $n$ th term is equal to the previous term multiplied by $\frac {n-1}{n}$ .

$12(\frac {1}{2}) = 6$ .

$6(\frac {2}{3}) = 4$ .

$4(\frac {3}{4}) = 3$ .

$3(\frac {4}{5}) = \frac {12}{5} = 2 \frac {2}{5}$ .

$\frac {12}{5}(\frac {5}{6}) = \frac {12}{6} = \boxed {2}$ .

12=12/1 6=12/2 4=12/3 3=12/4 2.4=12/5 2=12/6

simple the series is like first a multiplication of 1/2, next a multiplication of 2/3 , 3/4, 5/6... that is increase the numerator and denominator by +1 ... 12/5 x 5/6 is 2.

12 times with1/2 to get 6, 6 times 2/3 to get 4, 4 times 3/4 to get 3, 3 times 4/5 to get 2.4 or 2 2/5, so 2.4 times 5/6 and you will get the answer which is 2.

It takes little time to analyze the sequence.

Here, the next number is obtained as follows:

$6 = 12 \times \frac{1}{2}$

$4 = 6 \times \frac{2}{3}$

$3 = 4 \times \frac{3}{4}$

$2\frac{2}{5} = 3 \times \frac{4}{5}$

Therefore, the result would be $2\frac{2}{5} \times \frac{5}{6} = \frac{12}{5} \times \frac{5}{6} = 2$

That's the answer!

The second number is 2/3 of the first number. The third number is 3/4 of the second. The fourth is 4/5 of the third.... 12/5 * 5/6 = 60/30=2.......An HP

6=12 1/2 after this 4=6 2/3 then 3=4 3/2 then 12/5=3 4/3 therefore a=4/3*5/4=2

lets see alternate series : 1st term - 12/1
2nd term-12/2 3rd term - 12/3 4th term-12/4 5th term 12/5 6th term-12/6 = 2

12/12=0,12/6=2,12/4=3,12/3=4,12/(12/5)=5,12/2=6:......s0 ans 2

• We have 12,6,4,3, $2\frac{2}{5}$
• It's mean $\frac{12}{1}, \frac{12}{2}, \frac{12}{3}, \frac{12}{4}, \frac{12}{5}$
• So the sixth term is $\frac{12}{6} = \boxed{2}$

2

12/1, 12/2, 12/3, 12/4, 12/5, 12/6. So this is 2

12/6=2/1, 6/4=3/2, 4/3=4/3, 3/(12/5)=5/4, so 12/5x=6/5, i.e x=2.

12,6,4,3,12/5, ...... 2nd term = 12 x a = 6 a = 6/12 = 1/2 3rd term = 6 x b = 4 b = 4/6 = 2/3 = (n term -1) / n term

so, for 6th term, the answer is
6 th = (12/5 )x (5/6) = 2

sorry if my way is not good enough....

First of all divide 6 by 12, you get 1/2; in the same way 2/3 and 3/4 when we divide 4 by 6 and 3 by 4 respectively. Thus, we have a pattern, so all we have to do now is to multiply 12/5 by 5/6 which equals 2.

in the last pair the differance is. 4 so. 4 can be subtracted from last number

here the rule is 6 (2/3)=4 4 (3/4)=3 3 (4/5)=12/5 12/5 (5/6)=2 Note that the multiplying fraction's denominator and numerator increases by one at each stage.

Simple logic. All you have to do is to divide the first number by 2/1 . For the next series will be 3/2 And then 4/3 And 5/4 and so on.... So you'll just have to add 1 to the numerator and the same with the denominator and so on.. Pretty simple yet logical.

12 1/2=6, 6 2/3=4, 4 3/4=3, 3 4/5= 12/5, 12/5*5/6=2 ans= 2

Divides 12/5 by 6/5

6=12/2;[(2nd place)]\\ 4=12/3;[(3rd place)]\\ 3=12/4;[(4th place)]\\ 2(2/5)=12/5;[(5th place)]\\ 12/6=2;[(6th place)]

To find the nth number.

n = 1 2 3 4 5,

numbers are {12,6,4,3,2+2/5 }　＝{60/5,　30/5,　20/5,　15/5,　12/5}

nth number is 60/5n

to find the 6th number.

60/5*6

6th number is 2

try to find the ratio . it will be 1/2,2/3,3/4,4/5 so the other one will be 5/6.from this value you can find the 6th number and it will be 2