3, 10, 24, x, 108, 220
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Correct answer is 52
3, 10, 24, x, 108, 220
We can solve it in 2 ways.
Α way
Calculate the differences between
those that are next to each other.
10-3=7
24-10=14
108-52=56
220-108=112
The number series of the differences is:
7,14, x, 56, 112
Notice that every term is multiple by 2
7X2=14 56X2=114
The number series is GP with common ratio 2
So the number series of differences is:
7, 14, 28, 56, 112
Therefore the missing number is:
24+28=52
B way
The rule is as follows:
add 2 to the previous number then multiply times 2.
(3+2)x2=10
(10+2)x2=24
(24+2)x2=52
(52+2)x2=108
(108+2)x2=220
Correct answer is:
52
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