What Comes Next in the Sequence: 3, 10, 5, 16, 8, 24, 12, 36, 18, ??,??
Look at the series of numbers below and find the connection between them.
What Comes Next in the Sequence:
3, 10, 5, 16, 8, 24, 12, 36, 18, ??,??
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If you see the sequence of numbers you will realize that there are 2 alternate sequences in the riddle;
The first sequence has 2 possibilities, in case of an odd number you multiply by 3 and add 1 and in case of even number you just multiply by 3.
The second sequence is we divide the previous number by 2.
So to put this in the series;
3 x 3 + 1 = 9 + 1 = 10;
10 / 2 = 5;
5 x 3 + 1 = 15 + 1 = 16;
16 / 2 = 8;
Now since 8 is an even number we just multiply by 3;
8 x 3 = 24;
24 / 2 = 12;
12 x 3 = 36;
36 / 2 = 18;
So we can continue the series to find the mnissing numbers as;
18 x 3 = 54;
54 / 2 = 27
SO the next 2 numbers in the series are 54 & 27.