Solving Consecutive Integer Problems

The sum of three consecutive integers is 48.  What is the smallest number in the group?

• 16
• 15
• 17
• 24

The sum of 4 consecutive integers is 180. What is the smallest number in the group?

• 61

• 62

• 176

• 44

The sum of three consecutive even integers is 618.  What is the largest number in the group?

• 207
• 209
• 206
• 208

The sum of three consecutive odd numbers is 597.  What is the smallest number in the group?

• 198
• 199
• 197
• 196

Which of the following setups would be used to find four consecutive integers?

• n
  n+2
  n+4
  n+6
• n
  2n
  4n
  6n
• n+1
  n+2
  n+3
  n+4
• n
  n+1
  n+2
  n+3

Find three consecutive odd integers whose sum is -45.

• -15, -17, -19
• -17, -18, -19
• -13, -15, -17

Find four consecutive odd integers whose sum is 128.

• 32, 34, 37, 38
• 27, 29, 31, 33
• 29, 31, 33, 35
• 25, 27, 29, 31

Which expressions can be used to represent the sum of 3 consecutive odd integers?

• n+1, n+2, n+3
• n, n+1, n+3
• n, n+1, n+2
• n, n+2, n+4

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244.

• -41, -42, -43
• -41, -43, -45
• -39, -40, -41
• 41, 42, 43

Find three consecutive even integers whose sum is 84.

• 26, 28, 30
• 28, 30, 32
• 27, 28, 29
• 24, 26, 28