If (a=4) and (r=7) what are the first four terms?
Answer and explanation
Correct answer: (4, 28, 196, 1372)
In a geometric progression, the first term is a, and each successive term is found by multiplying the preceding term by the common ratio r. Here, a = 4 and r = 7: 4, 4×7 = 28, 28×7 = 196, and 196×7 = 1372. Therefore, (4, 28, 196, 1372) is correct. Option A incorrectly treats 7 as the second term; it is the common ratio. Exam tip: write a first, then multiply each term by r.
Frequently asked questions
What is the correct answer to this question?
(4, 28, 196, 1372)
Why is this the correct answer?
In a geometric progression, the first term is a, and each successive term is found by multiplying the preceding term by the common ratio r. Here, a = 4 and r = 7: 4, 4×7 = 28, 28×7 = 196, and 196×7 = 1372. Therefore, (4, 28, 196, 1372) is correct. Option A incorrectly treats 7 as the second term; it is the common ratio. Exam tip: write a first, then multiply each term by r.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Geometric Progression.
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