If (a_n=3^n), what is the value of (a_2)?
Answer and explanation
Correct answer: 9
The general rule gives each term by substituting its position for \(n\). Putting \(n=2\), we get \(a_2=3^2=9\). Option 8 is incorrect because it equals \(2^3\), whereas the base here is 3 and the exponent is 2. Exam tip: first substitute the term number for \(n\), then evaluate the power.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The general rule gives each term by substituting its position for \(n\). Putting \(n=2\), we get \(a_2=3^2=9\). Option 8 is incorrect because it equals \(2^3\), whereas the base here is 3 and the exponent is 2. Exam tip: first substitute the term number for \(n\), then evaluate the power.
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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