Multiple choice

Directions: Find the missing number and complete the series. 0, 7, 22, 45, 76, ?

  1. 115

  2. 116

  3. 117

  4. 118

  5. 119
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Differences: 7-0=7, 22-7=15, 45-22=23, 76-45=31. The differences are increasing by 8 (7, 15, 23, 31). Next difference = 31+8 = 39. Next term = 76+39 = 115.

AI explanation

Using the method of differences, the first level gaps are 7 - 0 = 7, 22 - 7 = 15, 45 - 22 = 23 and 76 - 45 = 31. The second level gaps between these numbers are all exactly 8, since 15 - 7 = 8, 23 - 15 = 8 and 31 - 23 = 8. Adding 8 to the last difference of 31 gives the next difference of 39, and adding 39 to the last term 76 yields 76 + 39 = 115. The result is 115.

Keep practicing — related questions