If each next term of a sequence is (7) more than the previous term, what is its common difference?
Answer and explanation
Correct answer: (7)
The common difference of an arithmetic progression is defined as the difference between a term and the term immediately before it: d=a₂−a₁. Here every new term is obtained by adding 7, so a₂−a₁=7 and the same calculation holds for every consecutive pair. Therefore d=7, making option C correct. Zero would mean no change, and −7 would describe a decreasing sequence.
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What is the correct answer to this question?
(7)
Why is this the correct answer?
The common difference of an arithmetic progression is defined as the difference between a term and the term immediately before it: d=a₂−a₁. Here every new term is obtained by adding 7, so a₂−a₁=7 and the same calculation holds for every consecutive pair. Therefore d=7, making option C correct. Zero would mean no change, and −7 would describe a decreasing sequence.
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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