If (a=-9) and (d=6), what are the first four terms?
Answer and explanation
Correct answer: (-9, -3, 3, 9)
In an arithmetic progression, each new term is obtained by adding the common difference d to the previous term. Here, a = -9 and d = 6: -9, -9+6 = -3, -3+6 = 3, and 3+6 = 9. Therefore, the first four terms are (-9, -3, 3, 9). Option D subtracts 6 each time, so its common difference is -6. Exam tip: check the difference between consecutive terms to verify an AP.
Frequently asked questions
What is the correct answer to this question?
(-9, -3, 3, 9)
Why is this the correct answer?
In an arithmetic progression, each new term is obtained by adding the common difference d to the previous term. Here, a = -9 and d = 6: -9, -9+6 = -3, -3+6 = 3, and 3+6 = 9. Therefore, the first four terms are (-9, -3, 3, 9). Option D subtracts 6 each time, so its common difference is -6. Exam tip: check the difference between consecutive terms to verify an AP.
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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