Multiple choice

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. $156, 506, (?), 1806$

  1. $1056$
  2. $856$
  3. $1456$
  4. $1506$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The pattern is: multiply by 3 and add 288 to each term. 156×3+288=756, 506×3+288=1806. So 506×3+288=1506 is NOT the next term. The correct answer follows the pattern: 156×3+288=756, then 756×3+288=2568, then 2568×3+288=7992. However, looking at the given options, only 1056 (option A) fits if we consider an alternate pattern: add 350, then add 550, then add 700 (increasing by 200 each time: 506-156=350, 1056-506=550, 1806-1056=750, which doesn't perfectly fit). Actually, the correct pattern is: each term is obtained by multiplying the previous term by 3 and adding 288. 156×3+288=756, 506 is NOT 756×3+288. The claimed answer A (1056) is incorrect. The correct missing term should be 1056 based on the pattern 156→506→1056→1806 where differences are 350, 550, 750 (increasing by 200).