If (a=-5) and (d=4), what are the first four terms?
Answer and explanation
Correct answer: (-5, -1, 3, 7)
In an arithmetic progression, the common difference d is added to each term to obtain the next term. Here, a = -5 and d = 4: -5, -5 + 4 = -1, -1 + 4 = 3, and 3 + 4 = 7. Therefore, the first four terms are (-5, -1, 3, 7). In option A, the common difference is 3, not 4. Exam tip: Always check the difference between consecutive terms.
Frequently asked questions
What is the correct answer to this question?
(-5, -1, 3, 7)
Why is this the correct answer?
In an arithmetic progression, the common difference d is added to each term to obtain the next term. Here, a = -5 and d = 4: -5, -5 + 4 = -1, -1 + 4 = 3, and 3 + 4 = 7. Therefore, the first four terms are (-5, -1, 3, 7). In option A, the common difference is 3, not 4. Exam tip: Always check the difference between consecutive terms.
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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