गुणोत्तर श्रेढ़ी \(5,10,20,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the geometric progression \(5,10,20,\ldots\)?

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Correct Answer

D. \(5\cdot2^{n-1}\)

Step 1

Concept

The first term is (5) and the ratio is (2), so \(a_n=5\cdot2^{n-1}\). In the geometric rule, the exponent is (n-1).

Step 2

Why this answer is correct

The correct answer is D. \(5\cdot2^{n-1}\). The first term is (5) and the ratio is (2), so \(a_n=5\cdot2^{n-1}\). In the geometric rule, the exponent is (n-1).

Step 3

Exam Tip

पहला पद (5) और अनुपात (2) है, इसलिए \(a_n=5\cdot2^{n-1}\)। गुणोत्तर नियम में घात (n-1) होती है।

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Mathematics Answer, Explanation and Revision Hints

गुणोत्तर श्रेढ़ी \(5,10,20,\ldots\) का (n)वाँ पद कौन-सा है? / What is the (n)th term of the geometric progression \(5,10,20,\ldots\)?

Correct Answer: D. \(5\cdot2^{n-1}\). Explanation: पहला पद (5) और अनुपात (2) है, इसलिए \(a_n=5\cdot2^{n-1}\)। गुणोत्तर नियम में घात (n-1) होती है। / The first term is (5) and the ratio is (2), so \(a_n=5\cdot2^{n-1}\). In the geometric rule, the exponent is (n-1).

Which concept should I revise for this Mathematics MCQ?

The first term is (5) and the ratio is (2), so \(a_n=5\cdot2^{n-1}\). In the geometric rule, the exponent is (n-1).

What exam hint can help solve this Mathematics question?

पहला पद (5) और अनुपात (2) है, इसलिए \(a_n=5\cdot2^{n-1}\)। गुणोत्तर नियम में घात (n-1) होती है।