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Find the number that comes next in the following sequence: 8,12,18,27,..

2007-07-05 19:31:36 · 11 answers · asked by Anonymous in Science & Mathematics Mathematics

11 answers

8 12 18 27

here is the pattern
12-8=4
18-12=6
27-18=9

you add 2 to 4 to get 6, you add 3 to 6 to get 9 therefore you need to add 4 to 9 which is equal to 13
the next number (x) minus 27 should have a difference of 13

x-27=13
x=40

2007-07-05 19:37:04 · answer #1 · answered by ptolemy862000 4 · 0 1

I think ptolemy862000 has the right idea.
The sequence is : 8, 12, 18, 27, ...
Take the first differences : 4, 6, 9, ...
Now take the second differences : 2, 3, ...

Assuming the next second difference is 4,
then the next first difference will be 13,
which means the next number in the sequence will be 40.

2007-07-06 09:49:03 · answer #2 · answered by falzoon 7 · 0 1

This is a geometric sequence, where r = 3/2.

8, 12, 18, 27,

The next number is obtained by multiplying the previous number by 3/2, or 1.5. The next number is 40.5, or 81/2.

2007-07-06 02:37:47 · answer #3 · answered by Puggy 7 · 1 0

8 = 4(2)
12 = 4(3)
18 = 9(2)
27 = 9(3)

4 and 9 are perfect squares, the next is 16, so perhaps the next number is
16(2) = 32 followed by
16(3) = 48

2007-07-06 02:42:53 · answer #4 · answered by Philo 7 · 0 0

40

2007-07-06 02:38:07 · answer #5 · answered by Anonymous · 0 1

8, 12, 18, 27, 39, 55, 75, 100

2007-07-06 02:38:09 · answer #6 · answered by teock 3 · 0 1

2*4=8
3*4=12
2*9=18
3*9=27
now since 4&9 are first two perfect sq. &the next are 16 &25&so on
thus,the next no.s will be
2*16=32
3*16=48
2*25=50
3*25=75
and so on..............................

2007-07-06 04:11:35 · answer #7 · answered by anushka 1 · 0 0

I've got several ideas:

Could be 32

2^2 x 2, 2^2 x 3, 3^2 x 2, 3^2 x 3, etc...

2007-07-06 02:40:20 · answer #8 · answered by Red_Wings_For_Cup 3 · 0 1

few scenarios but 28?
If you go on 10 added then 5 added

2007-07-06 03:09:20 · answer #9 · answered by Bornagain 1 · 0 1

each number is 1.5 the previous, 1.5 of 27 is 40.5

2007-07-06 02:35:55 · answer #10 · answered by Mike1942f 7 · 2 0

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