If the first term of an arithmetic progression is (a=12) and the common difference is (d=5), what are the first four terms?
Answer and explanation
Correct answer: (12,17,22,27)
In an arithmetic progression, each term is obtained by adding the common difference to the preceding term. Starting with 12 and adding 5 repeatedly gives 12, 12+5=17, 17+5=22, and 22+5=27. Therefore, (12,17,22,27) is correct. In option C, the common difference is 6, not 5. Exam tip: check the difference between consecutive terms before selecting an option.
Frequently asked questions
What is the correct answer to this question?
(12,17,22,27)
Why is this the correct answer?
In an arithmetic progression, each term is obtained by adding the common difference to the preceding term. Starting with 12 and adding 5 repeatedly gives 12, 12+5=17, 17+5=22, and 22+5=27. Therefore, (12,17,22,27) is correct. In option C, the common difference is 6, not 5. Exam tip: check the difference between consecutive terms before selecting an option.
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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