If (a_n=(n+2)^2-3) then what is the value of (a_5)?
Answer and explanation
Correct answer: 46
Given \(a_n=(n+2)^2-3\), substitute \(n=5\): \(a_5=(5+2)^2-3=7^2-3=49-3=46\). Therefore, 46 is the correct option. The nearby option 44 may result from an error while squaring or subtracting. Exam tip: substitute the value of \(n\) first, then evaluate brackets, powers, and the remaining operations in order.
Frequently asked questions
What is the correct answer to this question?
46
Why is this the correct answer?
Given \(a_n=(n+2)^2-3\), substitute \(n=5\): \(a_5=(5+2)^2-3=7^2-3=49-3=46\). Therefore, 46 is the correct option. The nearby option 44 may result from an error while squaring or subtracting. Exam tip: substitute the value of \(n\) first, then evaluate brackets, powers, and the remaining operations in order.
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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