समानांतर श्रेढ़ी \(42,36,30,24,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the arithmetic progression \(42,36,30,24,\ldots\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(a_n=48-6n\)

Step 1

Concept

The first term is (42) and the difference is (-6), so (a_n=42+(n-1)(-6)=48-6n). In a decreasing progression, the common difference is negative.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=48-6n\). The first term is (42) and the difference is (-6), so (a_n=42+(n-1)(-6)=48-6n). In a decreasing progression, the common difference is negative.

Step 3

Exam Tip

पहला पद (42) और अंतर (-6) है इसलिए (a_n=42+(n-1)(-6)=48-6n)। घटती श्रेढ़ी में समान अंतर ऋणात्मक होता है।

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Mathematics Answer, Explanation and Revision Hints

समानांतर श्रेढ़ी \(42,36,30,24,\ldots\) का (n)वाँ पद कौन-सा है? / What is the (n)th term of the arithmetic progression \(42,36,30,24,\ldots\)?

Correct Answer: A. \(a_n=48-6n\). Explanation: पहला पद (42) और अंतर (-6) है इसलिए (a_n=42+(n-1)(-6)=48-6n)। घटती श्रेढ़ी में समान अंतर ऋणात्मक होता है। / The first term is (42) and the difference is (-6), so (a_n=42+(n-1)(-6)=48-6n). In a decreasing progression, the common difference is negative.

Which concept should I revise for this Mathematics MCQ?

The first term is (42) and the difference is (-6), so (a_n=42+(n-1)(-6)=48-6n). In a decreasing progression, the common difference is negative.

What exam hint can help solve this Mathematics question?

पहला पद (42) और अंतर (-6) है इसलिए (a_n=42+(n-1)(-6)=48-6n)। घटती श्रेढ़ी में समान अंतर ऋणात्मक होता है।