In an AP, first term (a=4) and common difference (d=3). What is the (10)th term?
Answer and explanation
Correct answer: 31
The formula for the nth term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_{10}=4+(10-1)\times3=4+27=31\). Therefore, 31 is correct. Choosing 30 results from an incorrect use of \(n-1\). Exam tip: for the 10th term, the common difference is added 9 times to the first term.
Frequently asked questions
What is the correct answer to this question?
31
Why is this the correct answer?
The formula for the nth term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_{10}=4+(10-1)\times3=4+27=31\). Therefore, 31 is correct. Choosing 30 results from an incorrect use of \(n-1\). Exam tip: for the 10th term, the common difference is added 9 times to 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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