The first term of an arithmetic progression is 10 and the common difference is –3

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The first term of an arithmetic progression is 10 and the common difference is –3. At which term does the progression first become negative? (a) 6th6^{\text{th}} term (b) 5th5^{\text{th}} term (c) 4th4^{\text{th}} term (d) 7th7^{\text{th}} term

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