Question

50th sum of term of sequence 1,4,5,16,17,20,21,64,65

Answer 1

Answer:

1024

Step-by-step explanation:

According to the above Moser de Brujin sequence each number is addition of distinct powers of 4

example: 65 = 4^3+4^0

I don't know general term of the sequence but if options are given for the answer then you can use this method.

Hope it helps you !!!!!

Answer 2

Answer and explanation:

Given : Sequence 1,4,5,16,17,20,21,64,65

To find : 50th sum of term of sequence ?

Solution :

Sequence 1,4,5,16,17,20,21,64,65 is called as Moser de Brujin sequence in which each number is addition of distinct powers of 4.

Such as $65 = 4^3+4^0$

The Moser–de Bruijn sequence obeys a property similar to that of a Sidon sequence: the sums x+2y, where x and y both belong to the Moser–de Bruijn sequence, are all unique.