What is the next number in the pattern below 771,801, 611,562

The sequence of first differences is $730, -190, -49$.

Since the second differences ($-920$ and 141) are not constant, the entire sequence $71, 801, 611, 562$ does not follow a simple quadratic pattern.

The initial jump from 71 to 801 is very large and positive, while the subsequent changes are smaller and negative. This suggests that the first term, 71, might be an outlier or part of a different initial condition, and a consistent pattern might emerge from the second term onwards.

$801, 611, 562$.
Let's re-examine the differences for this sub-sequence:

The first differences are $-190$ and $-49$.

This second difference is constant. This indicates that the sequence $801, 611, 562, \dots$ is a quadratic sequence.

Since the second difference is constant at 141, the next first difference will be the previous first difference plus 141:

Add the next first difference to the last term given:

The next number in the pattern is 654.