If (1, 1+2p, 1+5p, 1+9p) is an arithmetic progression, what is correct about (p)?
Answer and explanation
Correct answer: \(p=0\)
The differences between consecutive terms are \(2p\), \(3p\), and \(4p\). For an arithmetic progression, all these differences must be equal. From \(2p=3p\), we get \(p=0\); then all three differences are \(0\). For \(p=1\) or \(p=2\), the differences are not equal. Exam tip: To test an AP, compare the differences of consecutive terms.
Frequently asked questions
What is the correct answer to this question?
\(p=0\)
Why is this the correct answer?
The differences between consecutive terms are \(2p\), \(3p\), and \(4p\). For an arithmetic progression, all these differences must be equal. From \(2p=3p\), we get \(p=0\); then all three differences are \(0\). For \(p=1\) or \(p=2\), the differences are not equal. Exam tip: To test an AP, compare the differences of 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.
