   # What is the next number of the following sequence 5, 8, 12, 18, 24, 30, 36, 42, ...?

1,545 views
What is the next number of the following sequence 5, 8, 12, 18, 24, 30, 36, 42, ...? posted Oct 13, 2014

+1 vote

5*1 - 0 = 5
5*2 - 2 = 8
5*3 - 3 = 12
5*4 - 2 = 18
5*5 - 1 = 24
5*6 - 0 = 30
5*7 + 1 = 36
5*8 + 2 = 42
5*9 + 3 = 48

Make a table of 5, then add or subtract in this sequence give - 48
Ans :- 48 answer Mar 7, 2016
+1 vote

The sequence is the addition of prime number in series from 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.......
So let’s test it on the given numbers in the series;
2+3=5
3+5=8
5+7=12
7+11=18
11+13=24
13+17=30
17+19=36
19+23=42
23+29=52
29+31=60
So on
so next number in this series is 52, 60 answer Apr 5, 2018 by

5, 8, 12, 18, 24, 30, 36, 42, ... answer Oct 13, 2014

Given series has two sub series
As
5,12,24,36,...
And
8,18,30,42,....

In first series,
5×2+2=12
5×4+4=24
5×6+6=36
5×8+8=48...

In second series
8×3-2×3=18
8×5-2×5=30
8×7-2×7=42
8×9-2×9=54....

So, missing number is 48. answer Mar 12, 2016

Similar Puzzles
+1 vote

On behalf of Sture Sjöstedt