The AP of multiples of (19) greater than (700) is (703,722,741,\ldots). What is its (24)th term?
Answer and explanation
Correct answer: 1140
The first term is \(a=703\) and the common difference is \(d=19\), since each successive multiple increases by 19. The \(n\)th term is \(a_n=a+(n-1)d\). Thus, \(a_{24}=703+(24-1)\times19=703+437=1140\). Therefore, 1140 is correct. The value 1159 is the next, or 25th, term. Exam tip: do not forget to use \(n-1\) in the nth-term formula.
Frequently asked questions
What is the correct answer to this question?
1140
Why is this the correct answer?
The first term is \(a=703\) and the common difference is \(d=19\), since each successive multiple increases by 19. The \(n\)th term is \(a_n=a+(n-1)d\). Thus, \(a_{24}=703+(24-1)\times19=703+437=1140\). Therefore, 1140 is correct. The value 1159 is the next, or 25th, term. Exam tip: do not forget to use \(n-1\) 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.
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