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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The correct answer is E.
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
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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