- n² Series
Find the missing term in the series 4, 16, 36, 64, ..., 144.
Ans: This is a series of squares of consecutive even numbers.
2² = 4, 4² = 16, 6² = 36, 8² = 64, 10² = 100
- (n² + 1) Series
Find the missing term in the series 10, 17, ..., 37.
Ans: Series pattern
3² + 1 = 10, 4² + 1 = 17, 5² + 1 = 26
- (n² - 1) Series
Find the missing term in the series 0, 3, 8, ..., 24.
Ans: Series pattern
1² - 1 = 0, 2² - 1 = 3, 3² - 1 = 8, 4² - 1 = 15
- (n² + n) Series
Find the missing term in the series 12, 20, 30, 42.
Ans: Series pattern
3² + 3 , 4² + 4, 5² + 5, 6² + 6
- (n² - n) Series
Find the missing term in the series 42, 30, ..., 12, 6.
Ans: Series pattern
7² - 7, 6² - 6, 5² - 5, 4² - 4, 3² - 3
There are some other series that follow the same rule like n³, (n³ + 1), (n³ - 1), (n³ + n), (n³ - n). I will suggest do it yourself.
- Alternating Series
Find the next term in the series 15, 14, 19, 11, 23, 8, ...Ans: Series pattern
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