Finding the sum of the first n even integers
(remember, n represents the # of even integers
and Finding the sum of the first n consecutive integers

1. find the sum of the first 75 even integers.
2. find the sum of the first 100 even integers.
3. how many even integers are there between 1 and 60?
4. how many even integers are there between 1 and 200?
5. how many even integers are there between 1 and 500?
6. 2+4+6+...+60=?
7. 2+4+6+...+200=?
8. 2+4+6+...+500=?
9. if 2+4+6+...+1000=? is the same as finding the sum of the first 500 even integers, then 2+4+6+...+ is the same as ....?
10. if 2+4+6+...+450=? is the same as finding the sum of the first 225 even integers, then 2+4+6+...+ is the same as ....?
11. if 2+4+6+...+840=? is the same as finding the sum of the first 420 even integers, then 2+4+6+...+ is the same as ....?
12. 58+60+62+...600=?
13. 34+36+38+...+168=?
14. 88+90+92+...+792=?
15. find the sum of the first 150 consecutive integers.
16. find the sum of the first 75 consecutive integers.
17. find the sum of the first 221 consecutive integers.
18. 1+2+3+...+ 123=?
19. 1+2+3+...+242=?
20. 1+2+3+...+650=?
21. 66+67+68+...+431=?
22. 90+91+92+...+357=?
23. 44+45+46+...+242=?

For numbers 24-28, first determine which nth term you need to use (n squared, n(n+1), or n(n+1)/2). Be sure you can justify your answer. Then, solve the problem.

24. 56+58+60+...+548=?

25. 1+3+5+...+453=?

26. 45+46+47+...+226=?

27. 2+4+6+...+888=?

28. 39+41+43+...199=?

29. Find the nth term of the following sequence: 1, 2, 15, 40, 77, 126

30. Find the value of the 50th term: 0, 0, 2, 6, 12, 20 (this problem gives me warm fuzzzies...lol)