What will be the next term in the arithmetic progression (31,27,23,19,\ldots)?
Answer and explanation
Correct answer: 15
The difference between consecutive terms is constant: \(27-31=-4\), \(23-27=-4\), and \(19-23=-4\). Hence, the common difference is \(d=-4\). Therefore, the next term is \(19+(-4)=15\). Choosing 16 would give a difference of \(-3\), which does not match the common difference of the progression. Exam tip: To find the next term, add the common difference to the last term.
Frequently asked questions
What is the correct answer to this question?
15
Why is this the correct answer?
The difference between consecutive terms is constant: \(27-31=-4\), \(23-27=-4\), and \(19-23=-4\). Hence, the common difference is \(d=-4\). Therefore, the next term is \(19+(-4)=15\). Choosing 16 would give a difference of \(-3\), which does not match the common difference of the progression. Exam tip: To find the next term, add the common difference to the last term.
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.
