117. Find the Next Number in the Sequence Find the next number in the series:18, 10, 6, 4, ? Added 4 September 2009 Show Hint Show Solution Hint: Look at the differences between consecutive terms. What happens to those differences each step? Solution: The successive differences are:10 − 18 = −86 − 10 = −44 − 6 = −2Each difference is exactly half of the previous one (−8, −4, −2, …). Halving −2 gives −1, so the next term is:4 + (−1) = 3Answer: 3
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