In the sequence (50,45,40,35,\ldots), what are the next term and (d) respectively?
Answer and explanation
Correct answer: (30) and (-5)
Find the common difference from consecutive terms: d=45−50=−5, and the same change appears in 40−45 and 35−40. To obtain the next term, subtract 5 from the last displayed term: 35+(−5)=30. The question asks for the next term and d in that order, so the pair is (30,−5). Hence option D is correct; option A has the wrong sign for d.
Frequently asked questions
What is the correct answer to this question?
(30) and (-5)
Why is this the correct answer?
Find the common difference from consecutive terms: d=45−50=−5, and the same change appears in 40−45 and 35−40. To obtain the next term, subtract 5 from the last displayed term: 35+(−5)=30. The question asks for the next term and d in that order, so the pair is (30,−5). Hence option D is correct; option A has the wrong sign for d.
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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