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If (a_n=2^n+1), what is the value of (a_6)?
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Answer and explanation
Correct answer: 65
The nth term is \(a_n=2^n+1\). Substituting \(n=6\), we get \(a_6=2^6+1=64+1=65\). Option 63 would result from \(2^6-1\), but the given expression requires adding 1. Exam tip: evaluate the exponent first, then perform addition or subtraction.
Frequently asked questions
What is the correct answer to this question?
65
Why is this the correct answer?
The nth term is \(a_n=2^n+1\). Substituting \(n=6\), we get \(a_6=2^6+1=64+1=65\). Option 63 would result from \(2^6-1\), but the given expression requires adding 1. Exam tip: evaluate the exponent first, then perform addition or subtraction.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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