If (a_n=n(n-2)), which is the first zero term?
Answer and explanation
Correct answer: 2nd term
For a zero term, n(n-2)=0. Hence, n=0 or n=2. Term numbering in a sequence normally starts from 1, so n=0 is not considered a term number. At n=2, a_2=2(2-2)=0; therefore, the second term is the first zero term. Exam tip: Always check the starting value of n for term numbers.
Frequently asked questions
What is the correct answer to this question?
2nd term
Why is this the correct answer?
For a zero term, n(n-2)=0. Hence, n=0 or n=2. Term numbering in a sequence normally starts from 1, so n=0 is not considered a term number. At n=2, a_2=2(2-2)=0; therefore, the second term is the first zero term. Exam tip: Always check the starting value of n for term numbers.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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