If (a_n=2^n), what is the value of (a_3)?
Answer and explanation
Correct answer: 8
The general rule is \(a_n=2^n\). For the third term, substitute \(n=3\): \(a_3=2^3=8\). Therefore, 8 is the correct option. The value 4 would result from an exponent of 2, not 3. Exam tip: substitute the required term number carefully for \(n\) in the general-term formula.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The general rule is \(a_n=2^n\). For the third term, substitute \(n=3\): \(a_3=2^3=8\). Therefore, 8 is the correct option. The value 4 would result from an exponent of 2, not 3. Exam tip: substitute the required term number carefully for \(n\) in the general-term formula.
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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