If (a=3) and (r=6) what are the first four terms?
Answer and explanation
Correct answer: (3, 18, 108, 648)
In a geometric progression, each term is obtained by multiplying the preceding term by the common ratio. Here, the first term is 3 and r = 6: 3, 3×6 = 18, 18×6 = 108, and 108×6 = 648. Therefore, (3, 18, 108, 648) is correct. In option A, the terms are multiplied by 2, not by 6. Exam tip: Write the first term first, then multiply each successive term by r.
Frequently asked questions
What is the correct answer to this question?
(3, 18, 108, 648)
Why is this the correct answer?
In a geometric progression, each term is obtained by multiplying the preceding term by the common ratio. Here, the first term is 3 and r = 6: 3, 3×6 = 18, 18×6 = 108, and 108×6 = 648. Therefore, (3, 18, 108, 648) is correct. In option A, the terms are multiplied by 2, not by 6. Exam tip: Write the first term first, then multiply each successive 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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