Multiple choice

Directions: Find the missing value in the following number series. 48, 73, 173, 398, ?, 1423

  1. 798

  2. 1023

  3. 623

  4. 498

  5. 423
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A Correct answer
Explanation

Pattern: 48*1+25=73, 73*2+27=173, 173*3+29=548? No. Let's check differences: 73-48=25 (5^2), 173-73=100 (10^2), 398-173=225 (15^2). Next difference should be 20^2 = 400. 398 + 400 = 798. Next difference 25^2 = 625. 798 + 625 = 1423. Matches.

AI explanation

The series follows a multiplication and addition pattern using increasing squares. We multiply 48 by 2 and subtract 23 to get 73, multiply 73 by 2 plus 27 to get 173, and multiply 173 by 2 plus 52 to get 398. Following the same logic, multiply 398 by 2 and add 2, which equals 798, to get the missing term.

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