25
RCMultiple Choice

The Binomial Theorem — Cumulative exam

Question 25 • EA Pre-Calculus Credit Recovery

Form a sequence that has two arithmetic means between -13 and 89.

Answer
A
-13, 33, 43, 89
B
-18, -36, -72, -144
C
-13, 21, 55, 89
D
-18, -81, -144

Explanation

Two arithmetic means create four terms, so there are three equal steps from −13 to 89. The common difference is (89 − (−13)) ÷ 3 = 102 ÷ 3 = 34. Adding 34 each time gives −13, 21, 55, 89, so the correct choice is C, “−13, 21, 55, 89.”

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