List the first 10 terms of each of these sequences. the

osula9a

osula9a

Answered question

2021-12-10

List the first 10 terms of each of these sequences.
the sequence whose nth term is the number of bits in the binary expansion of the number n.

Answer & Explanation

eninsala06

eninsala06

Beginner2021-12-11Added 37 answers

The nth term is the number of bits in the binary expansions of the number n.
Binary expansion of 1 is 1, which contains 1 bit.
a1=1
Binary expansion of 2 is 10, which contains 2 bits.
a2=2
Binary expansion of 3 is 11, which contains 2 bits.
a3=2
Binary expansion of 4 is 100, which contains 3 bits.
a4=3
Binary expansion of 5 is 101, which contains 3 bits.
a5=3
Binary expansion of 6 is 110, which contains 3 bits.
a6=3
Binary expansion of 7 is 111, which contains 3 bits.
a7=3
Binary expansion of 8 is 1000, which contains 4 bits.
a8=4
Binary expansion of 9 is 1001, which contains 4 bits.
a9=4
Binary expansion of 10 is 1010, which contains 4 bits.
a10=4

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