Multiple choice

In the following number series, a wrong number is given. Find out that wrong number. 1 9 65 497 4545 50105

  1. 1

  2. 9

  3. 65

  4. 497

  5. No wrong number

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let's check the pattern: 1 to 9: multiply by 9 or 1×9-0=9. 9 to 65: 9×8+1=73 (not 65), or 9×7+2=65. 65 to 497: 65×7+32=487, or 65×8-23=497. Let's try: 1 = 8^0, 9 = 8^1 + 1, 65 = 8^2 + 1, 497 = 8^3 - 515, 4545 = 8^4 - 2619. Not working. Try: 1×9-0=9, 9×8-7=65, 65×7-258=497, 497×6+... = 4545. Check: 1×8+1=9, 9×8+1=73 (not 65). Pattern might be: previous × (something) + adjustment. 9 = 1×8+1, 65 = 9×7+2, 497 = 65×8-23, 4545 = 497×9+72, 50105 = 4545×11+10. Not consistent. Try: 1, 9, 65, 497, 4545, 50105. Differences: 8, 56, 432, 4048, 45560. Ratios of differences: 56/8=7, 432/56=7.71, 4048/432=9.37, 45560/4048=11.25. Not clear. All numbers seem to follow some pattern with increasing multipliers and adjustments.