What are the next three integers in the sequence -5, -4, -3, -2, ...? What integer lies between 0 and -7? What integer is to the right of zero and opposite to -2? What number results in -10 when 17 is

The opposite of $-2$ is 2.

Numbers to the right of zero on the number line are positive numbers. Since 2 is a positive number, it is to the right of zero.

The number is $\boxed{2}$.

Question 6: Write the integers which lie between 0 and -7.

These are the integers greater than -7 and less than 0.

The integers are $\boxed{-6, -5, -4, -3, -2, -1}$.

Question (implicitly 7, about subtraction): 17 is subtracted from a number and the result is -10. Find the number.

Let the unknown number be $x$.
The problem states $x - 17 = -10$.

Add 17 to both sides of the equation:

The number is $\boxed{7}$.

Question 7 (sequence): Find the next three integers of the sequence: -5, -4, -3, -2, ...

Each number in the sequence is 1 greater than the previous number. This is an arithmetic sequence with a common difference of $+1$.

Starting from $-2$, add 1 repeatedly:
The next number is $-2 + 1 = -1$.
The second next number is $-1 + 1 = 0$.
The third next number is $0 + 1 = 1$.

The next three numbers are $\boxed{-1, 0, 1}$.

Question (implicitly 8, sum of opposite integers): What is the sum of two opposite integers?

Opposite integers are two integers that have the same absolute value but different signs (e.g., $a$ and $-a$).

Let the integers be $a$ and $-a$.
Their sum is $a + (-a) = a - a = 0$.

The sum of two opposite integers is $\boxed{0}$.

Question 8 (addition expression): Add the expression: (-2) + 8 + (-1).

The sum is $\boxed{5}$.

Question (implicitly 9, successor): What is the successor of -42?

The successor of an integer is the integer immediately following it on the number line, which is found by adding 1.

The successor of -42 is $\boxed{-41}$.

Question 9: Write the opposite of:

(i) 40 km East

(ii) increase in temperature

i) The opposite of $40 \text{ km East}$ is $\boxed{40 \text{ km West}}$.

ii) The opposite of $\text{increase in temperature}$ is $\boxed{\text{decrease in temperature}}$.

Question (implicitly 10, sum): Find the sum of 72 and -84.

The sum is $\boxed{-12}$.