Intelligent Math Puzzle – Challenge 78

This is a great and interactive math puzzle that requires some logic and critical thinking skills to be solved. The answer is given.

Challenge:

1, 4, 10, 22, 46, A, B
In the series above, A and B represent numbers. What is the value of B?

A- 94

B- 96

C- 122

D- 168

E- 190

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To the value of B, you should find the pattern of the numbers.
The difference of the first number, 1, and second number, 4, is 3. The difference of 4 and 10 is 6. The difference of 10 and 22 is 12 and the difference of 22 and 46 is 24.
The differences are:
3, 6, 12, 24,
Therefore, the difference of each item is twice the difference of the previous item and the number before that. So, the difference of number A and 46 is 48.
A = 46 + 48 = 94
The difference of B and 94 is 96 (2 × 48).
B = 94 + 96 = 190