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What is the next term of (4,10,14,24,38,\ldots) if each new term is the sum of the previous two terms?

Answer and explanation

Correct answer: 62

By the given rule, each new term is the sum of the two terms immediately before it: 14 = 4 + 10, 24 = 10 + 14, and 38 = 14 + 24. Therefore, the next term is 24 + 38 = 62. An option such as 60 does not equal the sum of the previous two terms. Exam tip: for this type of sequence, add the last two given terms to find the next term.

Related tags

SequencesRecursive SequenceNumber PatternsMathematicsClass 9Sequences And ProgressionsClass 9 Mcq

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