What is the common difference of the arithmetic progression (-10,-6,-2,2,\ldots)?
Answer and explanation
Correct answer: 4
The common difference of an arithmetic progression is found by subtracting a term from the term immediately before it. Here,
(-6)-(-10)=-6+10=4. The next differences are also
(-2)-(-6)=4 and 2-(-2)=4, so the common difference is 4. Exam tip: when subtracting a negative number, its sign changes to plus.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The common difference of an arithmetic progression is found by subtracting a term from the term immediately before it. Here,
(-6)-(-10)=-6+10=4. The next differences are also
(-2)-(-6)=4 and 2-(-2)=4, so the common difference is 4. Exam tip: when subtracting a negative number, its sign changes to plus.
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.
