If (a_n=30-3n), what will be the (6)th term?
Answer and explanation
Correct answer: 12
To find the sixth term, substitute \(n=6\) in the given general term: \(a_6=30-3(6)=30-18=12\). Hence, the correct answer is 12. The value 18 is only \(3\times6\); it must still be subtracted from 30. Exam tip: Always substitute the term number carefully for \(n\) in \(a_n\).
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
To find the sixth term, substitute \(n=6\) in the given general term: \(a_6=30-3(6)=30-18=12\). Hence, the correct answer is 12. The value 18 is only \(3\times6\); it must still be subtracted from 30. Exam tip: Always substitute the term number carefully for \(n\) in \(a_n\).
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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