Discussion
The terms shown are enough to fix the rule and so the term that follows. Establish what governs the terms and give the one that comes next.
120, 109, 98, 87, ?
Answer: C
Correct answer: 76
Every gap is the same: the differences run -11, -11, -11, so the common difference is -11. Applying it once more to the final term, 87 - 11 gives 76. As a check, subtracting -11 from the answer returns 87, the term before it, and repeating that recovers the whole series. Two candidate rules that agree on the early terms will diverge later, so the last pair is the one that discriminates.
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