In the sequence (12, 19, 26, 33, ...), what will be the next term after 33?
Answer and explanation
Correct answer: 40
The governing rule for an arithmetic progression is that each term is obtained by adding the same common difference to the preceding term. Here, d = 19 - 12 = 7; this is also confirmed by 26 - 19 = 7 and 33 - 26 = 7. Therefore the next term is 33 + 7 = 40. Option C is correct. Option A would add only 5, option B would add 6, and option D would add 8, so each would violate the established common difference. The ellipsis indicates that the same pattern continues, not that a new operation should be introduced after 33.
Frequently asked questions
What is the correct answer to this question?
40
Why is this the correct answer?
The governing rule for an arithmetic progression is that each term is obtained by adding the same common difference to the preceding term. Here, d = 19 - 12 = 7; this is also confirmed by 26 - 19 = 7 and 33 - 26 = 7. Therefore the next term is 33 + 7 = 40. Option C is correct. Option A would add only 5, option B would add 6, and option D would add 8, so each would violate the established common difference. The ellipsis indicates that the same pattern continues, not that a new operation should be introduced after 33.
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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