If a geometric progression has first term (4) and common ratio (2), what is the second term?
Answer and explanation
Correct answer: (8)
In a geometric progression, each term after the first is obtained by multiplying the preceding term by the common ratio. Therefore, to find the second term, multiply the first term by the given ratio. This rule is different from an arithmetic progression, where a fixed number is added instead.
Here the first term is \(4\) and the common ratio is \(2\). Hence the second term is \(4\times2=8\). The sequence begins \(4,8,16,32,\ldots\). Thus, option C is correct. The value 6 would come from adding 2, and 10 would come from adding 6; neither follows the geometric-progression rule given here.
Frequently asked questions
What is the correct answer to this question?
(8)
Why is this the correct answer?
In a geometric progression, each term after the first is obtained by multiplying the preceding term by the common ratio. Therefore, to find the second term, multiply the first term by the given ratio. This rule is different from an arithmetic progression, where a fixed number is added instead.
Here the first term is \(4\) and the common ratio is \(2\). Hence the second term is \(4\times2=8\). The sequence begins \(4,8,16,32,\ldots\). Thus, option C is correct. The value 6 would come from adding 2, and 10 would come from adding 6; neither follows the geometric-progression rule given here.
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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