Question

50 points!!! Find the 4 arithmetic means between -3.2 and 5.8. List answer with all numbers, state the common difference, and show your work as well please!! Thank you!!

Answer 1

Answer:

• {-3.2, -1.4, 0.4 2.2, 4.0, 5.8}
• common difference: 1.8

Step-by-step explanation:

The difference between the two numbers is ...

  5.8 -(-3.2) = 9

The four "means" divide this interval into 5 parts, so each part has a length of ...

  9/5 = 1.8 . . . . the common difference

The values of the "means" can be found by adding 1.8 successively:

  -3.2 +1.8 = -1.4

  -1.4 +1.8 = 0.4

  0.4 +1.8 = 2.2

  2.2 +1.8 = 4.0

Including the given numbers, the arithmetic sequence is ...

  -3.2, -1.4, 0.4, 2.2, 4.0, 5.8 . . . . . common difference of 1.8