What is the common difference of (100,90,80,70,\ldots)?
Answer and explanation
Correct answer: -10
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, 90 − 100 = −10 and 80 − 90 = −10, so the common difference is −10. Since the sequence is decreasing, its common difference is negative, not simply 10. Exam tip: subtract the preceding term from the succeeding term.
Frequently asked questions
What is the correct answer to this question?
-10
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, 90 − 100 = −10 and 80 − 90 = −10, so the common difference is −10. Since the sequence is decreasing, its common difference is negative, not simply 10. Exam tip: subtract the preceding term from the succeeding 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..
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