What will be the next two terms in (40,35,30,25,\ldots)?
Answer and explanation
Correct answer: (20, 15)
The difference between consecutive terms is constant: \(35-40=-5\), \(30-35=-5\), and \(25-30=-5\). Hence, this is an AP with common difference \(-5\). Therefore, the terms after 25 are \(25-5=20\) and \(20-5=15\). In option (22, 19), the difference is \(-3\), so it does not continue the AP. Exam tip: Find the difference between consecutive terms first, then apply the same difference to get the next terms.
Frequently asked questions
What is the correct answer to this question?
(20, 15)
Why is this the correct answer?
The difference between consecutive terms is constant: \(35-40=-5\), \(30-35=-5\), and \(25-30=-5\). Hence, this is an AP with common difference \(-5\). Therefore, the terms after 25 are \(25-5=20\) and \(20-5=15\). In option (22, 19), the difference is \(-3\), so it does not continue the AP. Exam tip: Find the difference between consecutive terms first, then apply the same difference to get the next terms.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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