What will be the ninth term of the sequence (2,7,12,17,\ldots)?
Answer and explanation
Correct answer: 42
This is an arithmetic progression with first term 2 and common difference 5. Its ninth term is \(a_9=2+(9-1)\times5=42\). The value 37 is the eighth term, so it is a close but incorrect option. In exams, first identify the first term and common difference, then use \(a_n=a+(n-1)d\).
Frequently asked questions
What is the correct answer to this question?
42
Why is this the correct answer?
This is an arithmetic progression with first term 2 and common difference 5. Its ninth term is \(a_9=2+(9-1)\times5=42\). The value 37 is the eighth term, so it is a close but incorrect option. In exams, first identify the first term and common difference, then use \(a_n=a+(n-1)d\).
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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