गुणोत्तर श्रेढ़ी \(4,12,36,\ldots\) का (n)वाँ पद कौन-सा है?
What is the (n)th term of the geometric progression \(4,12,36,\ldots\)?
Explanation opens after your attempt
A. \(4\cdot3^{n-1}\)
Concept
The first term is (4) and the ratio is (3), so \(a_n=4\cdot3^{n-1}\). In the geometric rule, the exponent is (n-1).
Why this answer is correct
The correct answer is A. \(4\cdot3^{n-1}\). The first term is (4) and the ratio is (3), so \(a_n=4\cdot3^{n-1}\). In the geometric rule, the exponent is (n-1).
Exam Tip
पहला पद (4) और अनुपात (3) है, इसलिए \(a_n=4\cdot3^{n-1}\)। गुणोत्तर नियम में घात (n-1) होती है।
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