If (a_n=2^n+n), what will be the value of (a_6)?
Answer and explanation
Correct answer: 70
Given \(a_n=2^n+n\), substitute \(n=6\): \(a_6=2^6+6=64+6=70\). Therefore, option B is correct. The value 68 would result from adding 4 to \(2^6\), which does not follow the given nth-term rule. Exam tip: while finding a term of a sequence, substitute the value of \(n\) in every required place and evaluate the power first.
Frequently asked questions
What is the correct answer to this question?
70
Why is this the correct answer?
Given \(a_n=2^n+n\), substitute \(n=6\): \(a_6=2^6+6=64+6=70\). Therefore, option B is correct. The value 68 would result from adding 4 to \(2^6\), which does not follow the given nth-term rule. Exam tip: while finding a term of a sequence, substitute the value of \(n\) in every required place and evaluate the power first.
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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