If (a_n=2^n+n^2), what will be the value of (a_5)?
Answer and explanation
Correct answer: 57
Given \(a_n=2^n+n^2\), substitute \(n=5\): \(a_5=2^5+5^2=32+25=57\). Therefore, 57 is the correct option. An answer such as 55 can result from an error in evaluating the power or the square. Exam tip: substitute the value of \(n\) into every part of the formula, then calculate powers and squares separately.
Frequently asked questions
What is the correct answer to this question?
57
Why is this the correct answer?
Given \(a_n=2^n+n^2\), substitute \(n=5\): \(a_5=2^5+5^2=32+25=57\). Therefore, 57 is the correct option. An answer such as 55 can result from an error in evaluating the power or the square. Exam tip: substitute the value of \(n\) into every part of the formula, then calculate powers and squares separately.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sequences.
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