If (a_n=4n+6), what will be the (25)th term?
Answer and explanation
Correct answer: 106
The general term is \(a_n=4n+6\). Substituting \(n=25\), we get \(a_{25}=4\times25+6=100+6=106\). Hence, 106 is correct. The value 100 is only \(4\times25\); it misses the constant term 6. Exam tip: while finding a term, substitute the given term number carefully for \(n\).
Frequently asked questions
What is the correct answer to this question?
106
Why is this the correct answer?
The general term is \(a_n=4n+6\). Substituting \(n=25\), we get \(a_{25}=4\times25+6=100+6=106\). Hence, 106 is correct. The value 100 is only \(4\times25\); it misses the constant term 6. Exam tip: while finding a term, substitute the given term number carefully for \(n\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.
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