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75. sequence is: 10 x3=30 /2=15 +1=16 x3=48 /2=24 +1=25 x3=75

* * * * *

Alternatively, rather than three intertwined sequences, try the single sequence

t(n) = (140n6 - 3105n5 + 26525n4 - 109875n3 + 228185n2 - 219870n + 81000)/300 for n = 1, 2, 3, ...

This gives t(8) = 906

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10y ago
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12y ago

Well, the pattern is easy.

First multiply the number by 3. (10x3=30). Divide that number by 2 (30/2=15). Add 1 to that number (15+1=16). This rule works with the other sequences so this is the rule. You just need to apply it:

10, 30, 15, 16, 48, 24, 25,

25x3=75

75/2=37.5

37.5+1=38.5

The next THREE are: 75, 37.5, 38.5

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12y ago

look at the patern of transformations from one number the one after:

(-2),(-1),(x2),(+1),(-2),(-1),(x2),(+1).....

then after the +1 operation, the -2 operation should be the next one and that's 25-2=23 sequence solved:D:D

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15y ago

The number is 10. 30 - 6 = 24 24 - 5 = 19 19 - 4 = 15 15 - 3 = 12 12 - 2 = 10

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13y ago

1,1,3,2,4,6,5,25,_

We two sequences in this-

1,1,2,4,5,25....

And,

3,6...

Next number can be 12 or 9 depending upon how we are taking 3,6 sequence.

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14y ago

The most obvious pattern in the sequence 10 30 15 16 48 24 25 is ...*3,/2,+1... The next number in the sequence following the 25 will be 75.

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12y ago

75, 37.5, 38.5, 115.5

x3, /3, +1, repeat...

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Q: What number best completes this sequence 10 30 15 16 48 24 25?
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