Multiple choice general knowledge math & puzzles

Find the next term in the series: 4,36,292,2034.....

  1. 10264

  2. 20536

  3. 14876

  4. 18724
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D Correct answer
Explanation

The pattern is: multiply by 9 and subtract 8, then multiply by 8 and subtract 20, then multiply by 7 and subtract 14. The pattern uses decreasing multipliers (9, 8, 7) and subtracts values related to the multiplier: 4×9-8=28, 28×8-20=204, 204×7-14=1414, 1414×6-12=8472. However, based on the given sequence 4, 36, 292, 2034, the next term following the established pattern would be 18724.

AI explanation

This series follows the rule: next term = 8 × current term + 4. Starting from 4: 8×4+4=36, 8×36+4=292, 8×292+4=2340, and 8×2340+4=18724 — matching the correct answer. (Note: the series as listed shows 2034 rather than 2340 for the third term, which appears to be a digit-transposition typo, since 2340 is what the consistent ×8+4 rule actually produces and is also what's needed to arrive cleanly at 18724 — using 2034 instead would not produce any of the listed options.) This confirms 18724 as the intended next term despite the apparent typo upstream.

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