If (a_n=n^2), what are the first three terms of the sequence?
Answer and explanation
Correct answer: (1, 4, 9)
For the first three terms, substitute \(n=1,2,3\). This gives \(a_1=1^2=1\), \(a_2=2^2=4\), and \(a_3=3^2=9\). Therefore, the sequence begins as \((1,4,9)\). Option A lists the values of \(n\), not their squares. Exam tip: Substitute \(n=1,2,3\) into the general term to find the initial terms quickly.
Frequently asked questions
What is the correct answer to this question?
(1, 4, 9)
Why is this the correct answer?
For the first three terms, substitute \(n=1,2,3\). This gives \(a_1=1^2=1\), \(a_2=2^2=4\), and \(a_3=3^2=9\). Therefore, the sequence begins as \((1,4,9)\). Option A lists the values of \(n\), not their squares. Exam tip: Substitute \(n=1,2,3\) into the general term to find the initial terms quickly.
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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