If (z-4,z+2,z+8,\ldots) is an arithmetic progression, what is (d)?
Answer and explanation
Correct answer: 6
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \(d=(z+2)-(z-4)=z+2-z+4=6\). Also, \((z+8)-(z+2)=6\), confirming that the common difference is 6. Option 4 is merely a number appearing in a term, not the difference. Exam tip: Find \(d\) first by subtracting the first term from the second term.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \(d=(z+2)-(z-4)=z+2-z+4=6\). Also, \((z+8)-(z+2)=6\), confirming that the common difference is 6. Option 4 is merely a number appearing in a term, not the difference. Exam tip: Find \(d\) first by subtracting the first term from the second 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.
