The number which best completes the sequence below is: 3, 9, 4, 5, 25, 20, 21, 441,… ?

Solution:

Given the sequence 3, 9, 4, 5, 25, 20, 21, 441,…

The second term 9 is square of 3

Similarly, 25 is square of 5

And 441 is square of 21

The third term 4 is 5 removed from that squared term

The fourth term 5 is 1 added to it

Hence, the sequence is term squared, 5 subtracted and 1 added

‘5’ must be subtracted from 441 to get the next term

Next term = 441 - 5 = 436

The number which best completes the sequence below is: 3, 9, 4, 5, 25, 20, 21, 441,… ?

Summary:

The number which best completes the sequence below is: 3, 9, 4, 5, 25, 20, 21, 441,… is 436.