What is the nth term of the sequence (1/2, 2/3, 3/4, 4/5, …)?
Answer and explanation
Correct answer: n/(n + 1)
Observe the numerator and denominator patterns separately. The numerators are 1, 2, 3, 4, so the numerator of the nth term is n. The denominators are 2, 3, 4, 5, each one greater than its corresponding numerator, so the denominator is n + 1. Therefore the nth term is n/(n + 1), making option A correct.
Frequently asked questions
What is the correct answer to this question?
n/(n + 1)
Why is this the correct answer?
Observe the numerator and denominator patterns separately. The numerators are 1, 2, 3, 4, so the numerator of the nth term is n. The denominators are 2, 3, 4, 5, each one greater than its corresponding numerator, so the denominator is n + 1. Therefore the nth term is n/(n + 1), making option A correct.
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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