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# Series

Series questions in reasoning are basically of two types, Series completion (missing term, next term) and Series correction (finding the wrong element in the series).

### Sample Problems

Question 1 : Find the missing term : 157.5, 45, 15, _, 3, 2, 2

Solution : Let the missing number be ‘n’ 157.5 / 45 = 3.5 45 / 15 = 3 15 / n = 2.5 n / 3 = 2 3 / 2 = 1.5 2 / 2 = 1 Therefore, the missing number is 6.

Question 2 : Find the next term in the series : 6, 7, 9, 13, _

Solution : Let the missing number be ‘n’ 7 – 6 = 1 9 – 7 = 2 13 – 9 = 4 n – 13 = 8 Therefore, next number in the series = n = 21

Question 3 : Find the incorrect element in the series : 1, 3, 10, 36, 152, 760, 4632

Solution : 1 x 1 + 2 = 3 3 x 2 + 4 = 10 10 x 3 + 6 = 36 36 x 4 + 8 = 152 152 x 5 + 10 = 770 770 x 6 + 12 = 4632 Therefore, the incorrect element in the series is 760.

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