Math, asked by chithra248, 3 months ago

what comes next series 4,12,6,9,18,27,
?​

Answers

Answered by Anonymous
0

Answer:

Addition of 2 , subtraction of 3 ( alternate numbers) This is the process in the above sequence . Hence the next numbers are, 10, 3 …

Ans : Next number is 10

Answered by RayyanKashan
1

Step-by-step explanation:

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This series is the combination of 3 series by skipping 2 terms of other series.

4,12,6,9,18,27

1st series: 4, 9,16,25,

In this series 1st term is 4 then skip 2 terms 12 and 6 then 2 term of this series is 9 then again skip 2 terms 18 and 27 and 3rd term of this series is 16.

In this series take difference between 2 terms and add 2 in the differnce.

Example

in this series 1st two terms are 4 and 9 by skipping 12 and 6

Difference in 4-9 = 5

Now add 2 in 5 = 7 now this 7 add in last term 9 = 16

now differnce between 16 and 9 = 7 add again 2 in 7 = 9

now add 9 in last term which is 16 well 16 and 9 = 25

____________

4,12,6,9,18,27

2nd series: 12, 18,24,30

In this series 1st two terms are 12 and 18 by skipping 6 and 9

1st term of this series is 12 then skip 2 terms 6 and 9 then 2nd term of this series is 18.

Example:

There is difference of 6 in each pair

difference between 12 and 18 is 6 add this 6 in 18 and 6+18= 24

difference 18 and 24 is 6 now add it in 24 =Result is 30

difference 24 and 30 is 6 now add it in 30 = result is 36

________________

4,12,6,9,18,27

Series 3:

In this series 1st two terms are 6 and 27 by skipping 9 and 18

6,27,48,69

1st term of this series is 6 then skip 2 terms 9 and 18 then 2nd term of this series is 27.

Example

There is difference of 21 in each pair of this series

difference between 6 and 27 = 21 now add it in 27=48

difference between 27 and 48 = 21 now add it in 48= 69

_______________

well next 6 numbers for given series are 4,12,6,9,18,27 16,24,48,25 and 30, 69

16 and 25 belongs to 1st series

24 and 39 belongs to 2nd series

48 and 69 belongs to 3rd series

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