The (n)th term of a sequence is (a_n=2^n+1). Which term is equal to (33)?
Answer and explanation
Correct answer: 5th term
For the term to be 33, set \(2^n+1=33\). Thus, \(2^n=32\). Since \(32=2^5\), we get \(n=5\), so the 5th term is 33. The 4th term is \(2^4+1=17\), so it is not correct. Exam tip: In exponential-term questions, first move the constant to the other side and express the result as a power of the same base.
Frequently asked questions
What is the correct answer to this question?
5th term
Why is this the correct answer?
For the term to be 33, set \(2^n+1=33\). Thus, \(2^n=32\). Since \(32=2^5\), we get \(n=5\), so the 5th term is 33. The 4th term is \(2^4+1=17\), so it is not correct. Exam tip: In exponential-term questions, first move the constant to the other side and express the result as a power of the same base.
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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