What will be the common difference in (42,36,30,24,\ldots)?
Answer and explanation
Correct answer: -6
The common difference is found by subtracting a term from the next term: \(36-42=-6\). Also, \(30-36=-6\) and \(24-30=-6\), so the common difference is \(-6\). Option 6 ignores the sign; in a decreasing AP, the common difference is negative. Exam tip: always calculate \(a_2-a_1\) in this order to get the correct sign.
Frequently asked questions
What is the correct answer to this question?
-6
Why is this the correct answer?
The common difference is found by subtracting a term from the next term: \(36-42=-6\). Also, \(30-36=-6\) and \(24-30=-6\), so the common difference is \(-6\). Option 6 ignores the sign; in a decreasing AP, the common difference is negative. Exam tip: always calculate \(a_2-a_1\) in this order to get the correct sign.
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.
