Extend the following number sequences: 773: 776: 779. 779: 776: 773. 704: 707: 710.

$$
707 - 704 = 3
$$
$$
710 - 707 = 3
$$
The pattern is adding 3 to the previous number.

$$
710 + 3 = 713
$$
$$
713 + 3 = 716
$$
The extended sequence is $704, 707, 710, \boxed{\mathbf{713}}, \boxed{\mathbf{716}}$.

$$
776 - 773 = 3
$$
$$
779 - 776 = 3
$$
The pattern is adding 3 to the previous number.

$$
779 + 3 = 782
$$
$$
782 + 3 = 785
$$
The extended sequence is $773, 776, 779, \boxed{\mathbf{782}}, \boxed{\mathbf{785}}$.

$$
776 - 779 = -3
$$
$$
773 - 776 = -3
$$
The pattern is subtracting 3 from the previous number.

$$
773 - 3 = 770
$$
$$
770 - 3 = 767
$$
The extended sequence is $779, 776, 773, \boxed{\mathbf{770}}, \boxed{\mathbf{767}}$.

$$
785 - 782 = 3
$$
$$
788 - 785 = 3
$$
The pattern is adding 3 to the previous number.

$$
788 + 3 = 791
$$
$$
791 + 3 = 794
$$
The extended sequence is $782, 785, 788, \boxed{\mathbf{791}}, \boxed{\mathbf{794}}$.

$$
782 - 779 = 3
$$
$$
785 - 782 = 3
$$
The pattern is adding 3 to the previous number.

$$
785 + 3 = 788
$$
$$
788 + 3 = 791
$$
The extended sequence is $779, 782, 785, \boxed{\mathbf{788}}, \boxed{\mathbf{791}}$.