If (a_n=2^n+1), what is (a_6)?
Answer and explanation
Correct answer: 65
Given \(a_n=2^n+1\), substitute \(n=6\): \(a_6=2^6+1=64+1=65\). Hence, 65 is the correct option. The value 63 would result from \(2^n-1\), so it is not correct here. Exam tip: In a general term of a sequence, substitute the given value of \(n\) first and then evaluate the exponent.
Frequently asked questions
What is the correct answer to this question?
65
Why is this the correct answer?
Given \(a_n=2^n+1\), substitute \(n=6\): \(a_6=2^6+1=64+1=65\). Hence, 65 is the correct option. The value 63 would result from \(2^n-1\), so it is not correct here. Exam tip: In a general term of a sequence, substitute the given value of \(n\) first and then evaluate the exponent.
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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