What is the next number on the pattern below 9 71, 801, 671, 562

$$801 - 71 = 730$$ $$671 - 801 = -130$$ $$562 - 671 = -109$$

The sequence of first differences is $730, -130, -109$.

$$-130 - 730 = -860$$ $$-109 - (-130) = -109 + 130 = 21$$

Since the second differences ($-860$ and 21) are not constant, the entire sequence does not follow a simple quadratic pattern from the first term.

Let's consider the sub-sequence $801, 671, 562$.
The first differences for this sub-sequence are:

$$671 - 801 = -130$$ $$562 - 671 = -109$$

$$-109 - (-130) = -109 + 130 = 21$$

This second difference is constant. This indicates that the pattern is a quadratic sequence starting from the second term.

Assuming the second difference remains constant at 21, the next first difference will be the previous first difference plus 21:

$$-109 + 21 = -88$$

Add this next first difference to the last term given:

$$562 + (-88) = 562 - 88 = 474$$

The next number in the pattern is 474.