Multiple choice

Choose the correct alternatives from given ones that will complete the series. 5, 17, 37, 65, ?, 145

  1. 96

  2. 87

  3. 99

  4. 101

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

Completing the series: 5, 17, 37, 65, ?, 145. Looking for pattern: Differences: 17-5=12, 37-17=20, 65-37=28. The differences increase by 8: 12, 20, 28. Next difference should be 36, so next term = 65+36=101. Verifying: Next difference after 36 would be 44, so 101+44=145, which matches. Therefore, the missing term is 101 (option D). Pattern: squares plus 1: 2²+1=5, 4²+1=17, 6²+1=37, 8²+1=65, 10²+1=101, 12²+1=145.