An algebra problem by Saswat Prakash

Algebra Level 2

A sequence of integers { a 1 , a 2 , a 3 , . . . } \{a_1,a_2,a_3,...\} is such that the sum of any 4 consecutive terms is positive and that of any 7 consecutive terms is negative.

What is the max possible number of terms in this sequence?


The answer is 10.

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