What is the seventh term of the sequence (4,9,14,19,\ldots)?
Answer and explanation
Correct answer: 34
This is an arithmetic progression with first term \(a=4\) and common difference \(d=9-4=5\). Its \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_7=4+(7-1)\times5=34\). Hence, 34 is correct. The value 29 is the fifth term, not the seventh term. Exam tip: identify the first term and common difference before substituting \(n\) in \(a_n=a+(n-1)d\).
Frequently asked questions
What is the correct answer to this question?
34
Why is this the correct answer?
This is an arithmetic progression with first term \(a=4\) and common difference \(d=9-4=5\). Its \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_7=4+(7-1)\times5=34\). Hence, 34 is correct. The value 29 is the fifth term, not the seventh term. Exam tip: identify the first term and common difference before substituting \(n\) in \(a_n=a+(n-1)d\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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