Question : Directions: Which number will replace the question mark (?) to complete the given series?
15, 16, 20, 29, 45, (?)
Option 1: 70
Option 2: 65
Option 3: 75
Option 4: 60
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Correct Answer: 70
Solution :
Given:
15, 16, 20, 29, 45, (?)
Add the squares of the consecutive natural numbers in the previous term to get the next term.
15 + 1
2
= 15 + 1 = 16; 16 + 2
2
= 16 + 4 = 20; 20 + 3
2
= 20 + 9 = 29; 29 + 4
2
= 29 + 16 = 45; 45 + 5
2
= 45 + 25 = 70
So, 70 is the missing term in the series. Hence, the first option is correct.
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