Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given series.
1, 1, 3, 4, 5, 9, 7, 16, 9, 25, 11, ?
Option 1: 17
Option 2: 36
Option 3: 49
Option 4: 37
Correct Answer: 36
Solution :
Given:
1, 1, 3, 4, 5, 9, 7, 16, 9, 25, 11, ?
Odd position terms→Add 2 to the odd positioned number, to get the next term of the series.
1 + 2 = 3; 3 + 2 = 5; 5 + 2 = 7; 7 + 2 = 9; 9 + 2 = 11
Even position terms→Perfect squares of consecutive natural numbers.
1
2
= 1; 2
2
= 4; 3
2
= 9; 4
2
= 16; 5
2
= 25; 6
2
= 36
So, the required missing term in the series is 36. Hence, the second option is correct.
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