Challenge:
What is the next number?
3, 7, 23, 87, … ?
The Absolute Best Book to challenge your Smart Student!
The correct answer is 343.
Find the pattern. First, try to find the relationship between the first and second numbers, 3 and 7.
7 is 3 plus 4, it’s also twice of 3 plus 1, or it’s three times of 3 minus 2, or 4 times of 3 minus 5.
Now, check the relationships with other numbers. For example 7 and 23.
23 is 7 plus 16. It’s also twice of 7 plus 9, or three times of seven plus 2, or four times of 7 minus 5. The last relationship is common for both 3 – 7 and 7 – 21.
Four times of 23 minus 5 is 87. Bingo!!
Therefore, the answer is: 4 × 87 – 5 = 343
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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