What is the common difference of (44,40,36,32,\ldots)?
Answer and explanation
Correct answer: (-4)
The common difference is found by subtracting a term from the term immediately after it. Using the first two terms, d=40−44=−4. The other consecutive differences confirm this: 36−40=−4 and 32−36=−4. The sequence decreases by 4 each time, so the difference must be negative. Therefore option B is correct; +4 would incorrectly ignore the direction of change.
Frequently asked questions
What is the correct answer to this question?
(-4)
Why is this the correct answer?
The common difference is found by subtracting a term from the term immediately after it. Using the first two terms, d=40−44=−4. The other consecutive differences confirm this: 36−40=−4 and 32−36=−4. The sequence decreases by 4 each time, so the difference must be negative. Therefore option B is correct; +4 would incorrectly ignore the direction of change.
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.
