The next numbers in the series are 32 and 57. This is reached by adding successive square numbers 1, 4, 9, 16, 25 and so on.
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The next number in the series is 57. This is reached by adding successive square numbers 1, 4, 9, 16, 25 and so on.
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
Partial sums for a sequence are sums of the first one, first two, first three, etc numbers of the sequence. So, the series of partial sums is:2, 6, 14, 30, 62, ...It is the sequence whose nth term isT(n) = 2^(n+1) - 2 for n = 1, 2, 3, ...
The sequence alternates between dividing by 2 and adding 4. Starting with 72, we divide by 2 to get 36, then add 4 to get 40, divide by 2 to get 20, and so on. Following this pattern, the next number in the sequence would be 8 (16 divided by 2).
The wrong number in this sequence is 20. The pattern in the sequence is doubling each number, so it should go 2, 4, 8, 16, 32, 64, etc. However, 20 breaks this pattern by not being double the previous number.