If (a_n=n^2+3), what is the value of (a_5)?
Answer and explanation
Correct answer: \(28\)
Given \(a_n=n^2+3\), substitute \(n=5\) to find the fifth term: \(a_5=5^2+3=25+3=28\). Therefore, the correct answer is \(28\). \(25\) is only the value of \(5^2\); the \(+3\) must also be added. Exam tip: Substitute the term number first, then evaluate the exponent before completing the calculation.
Frequently asked questions
What is the correct answer to this question?
\(28\)
Why is this the correct answer?
Given \(a_n=n^2+3\), substitute \(n=5\) to find the fifth term: \(a_5=5^2+3=25+3=28\). Therefore, the correct answer is \(28\). \(25\) is only the value of \(5^2\); the \(+3\) must also be added. Exam tip: Substitute the term number first, then evaluate the exponent before completing the calculation.
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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