What is the ratio of the (3)rd terms of (6,30,150,\ldots) and (8,40,200,\ldots)?
Answer and explanation
Correct answer: \(3:4\)
The third term of the first sequence is \(150\), and that of the second sequence is \(200\). Hence, their ratio is \(150:200\). Dividing both terms by \(50\) gives \(3:4\). \(4:3\) would reverse the required order of the ratio. Exam tip: write ratios in the same first-to-second order as given in the question.
Frequently asked questions
What is the correct answer to this question?
\(3:4\)
Why is this the correct answer?
The third term of the first sequence is \(150\), and that of the second sequence is \(200\). Hence, their ratio is \(150:200\). Dividing both terms by \(50\) gives \(3:4\). \(4:3\) would reverse the required order of the ratio. Exam tip: write ratios in the same first-to-second order as given in the question.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sequences.
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