If the first term of an AP is (-2) and the common difference is (6), what is the (12)th term?
Answer and explanation
Correct answer: 64
The formula for the nth term of an AP is \(a_n=a+(n-1)d\). Here, \(a=-2\), \(d=6\), and \(n=12\). Thus, \(a_{12}=-2+(12-1)\times6=-2+66=64\). Therefore, 64 is the correct answer. The nearby option 66 is only \(11\times6\); it does not include the first term \(-2\). Exam tip: use \((n-1)\), not \(n\), in the nth-term formula.
Frequently asked questions
What is the correct answer to this question?
64
Why is this the correct answer?
The formula for the nth term of an AP is \(a_n=a+(n-1)d\). Here, \(a=-2\), \(d=6\), and \(n=12\). Thus, \(a_{12}=-2+(12-1)\times6=-2+66=64\). Therefore, 64 is the correct answer. The nearby option 66 is only \(11\times6\); it does not include the first term \(-2\). Exam tip: use \((n-1)\), not \(n\), in the nth-term formula.
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
