Which sequence is an arithmetic progression with (d=-7)?
Answer and explanation
Correct answer: \((60,53,46,39,\ldots)\)
In option A, the differences between consecutive terms are \(53-60=-7\), \(46-53=-7\), and \(39-46=-7\). Since every difference is the same, it is an arithmetic progression with \(d=-7\). Option B has common difference \(+7\), while options C and D do not have equal consecutive differences. Exam tip: To identify an AP, check the difference between every pair of consecutive terms.
Frequently asked questions
What is the correct answer to this question?
\((60,53,46,39,\ldots)\)
Why is this the correct answer?
In option A, the differences between consecutive terms are \(53-60=-7\), \(46-53=-7\), and \(39-46=-7\). Since every difference is the same, it is an arithmetic progression with \(d=-7\). Option B has common difference \(+7\), while options C and D do not have equal consecutive differences. Exam tip: To identify an AP, check the difference between every pair of consecutive terms.
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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