What are the next two terms in (100,92,84,76,\ldots)?
Answer and explanation
Correct answer: (68,60)
The difference between consecutive terms is constant: \(92-100=-8\), \(84-92=-8\), and \(76-84=-8\). Hence, this is an arithmetic progression with common difference \(d=-8\). Therefore, the terms after 76 are \(76-8=68\) and \(68-8=60\). In option A, the difference is \(-6\), so it does not follow the rule of the sequence. Exam tip: To find subsequent terms, first check the difference between consecutive terms.
Frequently asked questions
What is the correct answer to this question?
(68,60)
Why is this the correct answer?
The difference between consecutive terms is constant: \(92-100=-8\), \(84-92=-8\), and \(76-84=-8\). Hence, this is an arithmetic progression with common difference \(d=-8\). Therefore, the terms after 76 are \(76-8=68\) and \(68-8=60\). In option A, the difference is \(-6\), so it does not follow the rule of the sequence. Exam tip: To find subsequent terms, first check the difference between consecutive 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..
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
