Question

Determine the sequence of 101, 1001, 110011, 1100011?

Answer 1

Answer:

111000111,1110000111...........

Answer 2

The next number in the sequence is 111000111.

Given:

The sequence of 101, 1001, 110011, 1100011,?

To Find:

The value of the next number in the sequence.

Solution:

We are required to find the next number in the sequence.

When we look closely at the sequence, it is in the pattern as

• The first number has '1' on both sides of '0' and the count of '1' on each side is the same as the count of '0'.

• Then the zero in the middle is increased by 1 and also the '1' on both sides of zeroes. Thus, the count of '1' on each side is the same as the count of '0' in the second number.

• Therefore, zero in middle is increased by 1, and followed by '1' is increased on both sides of zeroes having the same count of zero on both sides.

From the above information, we have

101

1001

110011

1100011

111000111

Hence, The next number in the sequence is 111000111.

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