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What is the next term of (81,72,63,54,\ldots)?
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Answer and explanation
Correct answer: 45
Each term is 9 less than the previous term: 81, 72, 63, 54. Therefore, the next term is \(54-9=45\). Choosing 48 would mean a decrease of 6, whereas the common difference in the sequence is 9. Exam tip: Find the difference between consecutive terms to identify the pattern.
Frequently asked questions
What is the correct answer to this question?
45
Why is this the correct answer?
Each term is 9 less than the previous term: 81, 72, 63, 54. Therefore, the next term is \(54-9=45\). Choosing 48 would mean a decrease of 6, whereas the common difference in the sequence is 9. Exam tip: Find the difference between consecutive terms to identify the pattern.
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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