Multiple choice

Find the wrong term in the given series. $4, 8, 17, 42, 91, 212, 382$

  1. $42$
  2. $8$
  3. $212$
  4. $382$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Pattern: 4×2+1=9, 9×2-1=17, 17×2+8=42? No. Try: difference sequence: 4, 9, 25, 49, 121, 170. Differences of differences: 5, 16, 24, 72, 49... Not clear. Try: 4=2², 8=2³, 17=4²+1, 42=6²+6, 91=9²+10, 212=?, 382=?. Another approach: 4×2=8, 8×2+1=17, 17×2.5≈42, 42×2+7=91, 91×2.3≈212, 212×1.8≈382. Pattern breaks. Correct pattern: 4+4=8, 8+9=17, 17+25=42, 42+49=91, 91+121=212, 212+169=381 (not 382). The terms are 2², 2³, 4²+1, but 382 should be 381. So 382 is wrong.