Math, asked by lakavarapusathesh, 6 months ago

1, 100, 1001, 10000, 11001, 100100, —​

Answers

Answered by amitnrw
1

Given : 1, 100, 1001, 10000, 11001, 100100 ?

To Find : Next Number

Solution:

1₂  =      1   = 1²

100₂ =  4   = 2²

1001₂ =  9  = 3²

10000 = 16  = 4²

11001  = 25 = 5²

100100 = 36 = 6²

Next term  = 7² = 49

49 = (110001)₂

110001 will be the next number

Tₙ  = n² in decimal system converted into binary

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Answered by Anonymous
0

It is binary operation system place values are

→ 32 16 8 4 2 1←

1 = 1

100 = 4 + 0 + 0 = 4

1001 = 8 + 0 + 0 + 1 = 9

10000 = 16 + 0 + 0 + 0 + 0 = 16

11001 = 16 + 8 + 0 + 0 + 1 = 25

100100 = 32 + 0 + 0 + 4 + 0 + 0 = 36

So these are the square numbers next number is 49

In binary system 49 = 32 + 16 + 0 + 4 + 0 + 1 = 49

So answer is 110101

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