If (a=12) and (d=-4), which is the correct order of the first three terms?
Answer and explanation
Correct answer: (12,8,4)
In an arithmetic progression, the first term is a, and each next term is obtained by adding the common difference d. Here, a=12 and d=-4, so the terms are 12, 12+(-4)=8, and 8+(-4)=4. Therefore, the correct order is (12,8,4). Option B uses a common difference of +4, while option C does not begin with the first term 12. Exam tip: A negative d means that the same value is subtracted from each successive term.
Frequently asked questions
What is the correct answer to this question?
(12,8,4)
Why is this the correct answer?
In an arithmetic progression, the first term is a, and each next term is obtained by adding the common difference d. Here, a=12 and d=-4, so the terms are 12, 12+(-4)=8, and 8+(-4)=4. Therefore, the correct order is (12,8,4). Option B uses a common difference of +4, while option C does not begin with the first term 12. Exam tip: A negative d means that the same value is subtracted from each successive term.
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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