If the first term of an AP is (6) and the common difference is (7), what is the (11)th term?
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Answer and explanation
Correct answer: 76
The formula for the nth term of an AP is \(a_n=a_1+(n-1)d\). Therefore, \(a_{11}=6+(11-1)\times7=6+70=76\). Hence, option D is correct. Exam tip: multiply the common difference by \(n-1\), not by \(n\), before adding the first term.
Frequently asked questions
What is the correct answer to this question?
76
Why is this the correct answer?
The formula for the nth term of an AP is \(a_n=a_1+(n-1)d\). Therefore, \(a_{11}=6+(11-1)\times7=6+70=76\). Hence, option D is correct. Exam tip: multiply the common difference by \(n-1\), not by \(n\), before adding the first term.
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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