If (a_n=2^n), what is the value of (a_5)?
Answer and explanation
Correct answer: 32
Given \(a_n=2^n\). For the fifth term, substitute \(n=5\): \(a_5=2^5=32\). Therefore, 32 is correct. The value 16 equals \(2^4\), so it represents the fourth term, not the fifth. Exam tip: To find a particular term of a sequence, substitute its term number directly for \(n\) in the given formula.
Frequently asked questions
What is the correct answer to this question?
32
Why is this the correct answer?
Given \(a_n=2^n\). For the fifth term, substitute \(n=5\): \(a_5=2^5=32\). Therefore, 32 is correct. The value 16 equals \(2^4\), so it represents the fourth term, not the fifth. Exam tip: To find a particular term of a sequence, substitute its term number directly for \(n\) in the given formula.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Geometric Progression.
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