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If (a_n=5^n), what is the third term?
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Answer and explanation
Correct answer: 125
For the third term, substitute n=3. Thus, \(a_3=5^3=5\times5\times5=125\). Therefore, 125 is correct. The value 25 equals \(5^2\), so it is the second term, not the third. Exam tip: substitute the required term number directly for n in the nth-term formula.
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What is the correct answer to this question?
125
Why is this the correct answer?
For the third term, substitute n=3. Thus, \(a_3=5^3=5\times5\times5=125\). Therefore, 125 is correct. The value 25 equals \(5^2\), so it is the second term, not the third. Exam tip: substitute the required term number directly for n in the nth-term formula.
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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