Which is the (n)th term of the sequence (4,9,16,25,36,\ldots)?
Answer and explanation
Correct answer: \((n+1)^2\)
The terms are \(2^2,3^2,4^2,5^2,6^2,\ldots\). Since the first term corresponds to \(n=1\) and is \(2^2\), the \(n\)th term is \((n+1)^2\). The expression \(n^2+1\) gives \(5\) for the second term, whereas the actual second term is \(9\). Exam tip: test a proposed formula by substituting \(n=1\) and \(n=2\).
Frequently asked questions
What is the correct answer to this question?
\((n+1)^2\)
Why is this the correct answer?
The terms are \(2^2,3^2,4^2,5^2,6^2,\ldots\). Since the first term corresponds to \(n=1\) and is \(2^2\), the \(n\)th term is \((n+1)^2\). The expression \(n^2+1\) gives \(5\) for the second term, whereas the actual second term is \(9\). Exam tip: test a proposed formula by substituting \(n=1\) and \(n=2\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
