HW: Finding the sum of nth odd, even, & consecutive #s

Aim 1: to find the sum of the first "n" odd integers

If you didn't get the nth term in class, create and complete a term and value chart. Label the top row "# of odd integers". Label the bottom row "Sum". Then, calculate the sum by completing the following:

• 1
• 1+3=?
• 1+3+5=?
• 1+3+5+7=?
• 1+3+5=7+9=?

Practice Problems:

1. Find the sum of the first 80 odd integers.
2. Find the sum of the first 90 odd integers.
3. Find the sum of the first 100 odd integers.
4. 1+3+5+...+253=?
5. 1+3+5+...+987=?
6. 1+3+5+...+1269=?
7. 255+257+259+...+757=?
8. 339+341+343+...887=?
9. 551+553+555+...+1111=?

Aim 2: to find the sum of the first "n" even integers

If you didn't get the nth term in class, create and complete a term and value chart. Label the top row "# of even integers". Label the bottom row "Sum". Then, calculate the sum by completing the following:

• 2
• 2+4=?
• 2+4+6=?
• 2+4+6+8=?
• 2+4+6+8+10=?

Practice Problems:

1. Find the sum of the first 250 even integers.
2. Find the sum of the first 700 even integers.
3. Find the sum of the first 1000 even integers.
4. 2+4+6+...+500=?
5. 2+4+6+...+1000=?
6. 2+4+6+...+1600=?
7. 450+452+454+...+988=?
8. 234+236+238+...+1290=?
9. 886+888+890+...+2000=?

Aim 3: to find the sum of the first "n" consecutive integers

We didn't get to figure out the nth term in class, but you can now create and complete a term and value chart. Label the top row "# of consecutive integers". Label the bottom row "Sum". Then, calculate the sum by completing the following:

• 1
• 1+2=?
• 1+2+3=?
• 1+2+3+4=?
• 1+2+3+4+5=?
• 1+2+3+4+5+6=?

Practice Problems:

1. Find the sum of the first 20 consecutive integers.
2. Find the sum of the first 100 consecutive integers.
3. Find the sum of the first 1600 consecutive integers.
4. 1+2+3+...+500=?
5. 1+2+3+...+950=?
6. 1+2+3+...+4280=?
7. 450+451+452+...+921=?
8. 263+264+265+...+900=?
9. 567+568+569+...+789=?
10. 678+679+680+...+1616=?

Please post questions and comments here.