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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

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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