What is (a_5) of the geometric progression (14,42,126,378,\ldots)?
Answer and explanation
Correct answer: 1134
The common ratio of this GP is \(r=42/14=3\). Here, \(378\) is the fourth term, so \(a_5=378\times 3=1134\). \(945\) is not correct because it is not obtained by multiplying the previous term by 3. Exam tip: count the given terms first, then multiply the last given term by the common ratio.
Frequently asked questions
What is the correct answer to this question?
1134
Why is this the correct answer?
The common ratio of this GP is \(r=42/14=3\). Here, \(378\) is the fourth term, so \(a_5=378\times 3=1134\). \(945\) is not correct because it is not obtained by multiplying the previous term by 3. Exam tip: count the given terms first, then multiply the last given term by the common ratio.
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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