If (a_n=10-2n), which is the first negative term?
Answer and explanation
Correct answer: 6th term
For the first negative term, we need \(10-2n<0\). This gives \(n>5\), so the smallest integer value is \(n=6\). Checking nearby terms: \(a_5=10-2(5)=0\), which is not negative, whereas \(a_6=10-2(6)=-2\). Exam tip: a negative term must be less than \(0\); zero is neither positive nor negative.
Frequently asked questions
What is the correct answer to this question?
6th term
Why is this the correct answer?
For the first negative term, we need \(10-2n<0\). This gives \(n>5\), so the smallest integer value is \(n=6\). Checking nearby terms: \(a_5=10-2(5)=0\), which is not negative, whereas \(a_6=10-2(6)=-2\). Exam tip: a negative term must be less than \(0\); zero is neither positive nor negative.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.
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