यदि \(^{n}C_r\) maximum term है, तो \(\frac{{}^{n}C_{r+1}}{{}^{n}C_r}\) के लिए कौन-सी condition उपयोगी है?

If \(^{n}C_r\) is a maximum term, which condition is useful for \(\frac{{}^{n}C_{r+1}}{{}^{n}C_r}\)?

Explanation opens after your attempt
Correct Answer

A. Ratio (1) से अधिक होने पर sequence बढ़ती है और (1) से कम होने पर घटती हैThe sequence increases when the ratio is greater than (1) and decreases when it is less than (1)

Step 1

Concept

Near the maximum, the sequence transitions from increasing to decreasing. In exams locate the binomial coefficient peak by ratios.

Step 2

Why this answer is correct

The correct answer is A. Ratio (1) से अधिक होने पर sequence बढ़ती है और (1) से कम होने पर घटती है / The sequence increases when the ratio is greater than (1) and decreases when it is less than (1). Near the maximum, the sequence transitions from increasing to decreasing. In exams locate the binomial coefficient peak by ratios.

Step 3

Exam Tip

Maximum के पास increasing से decreasing transition होता है। परीक्षा में binomial coefficient peak को ratio से locate करें।

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यदि \(^{n}C_r\) maximum term है, तो \(\frac{{}^{n}C_{r+1}}{{}^{n}C_r}\) के लिए कौन-सी condition उपयोगी है? / If \(^{n}C_r\) is a maximum term, which condition is useful for \(\frac{{}^{n}C_{r+1}}{{}^{n}C_r}\)?

Correct Answer: A. Ratio (1) से अधिक होने पर sequence बढ़ती है और (1) से कम होने पर घटती है / The sequence increases when the ratio is greater than (1) and decreases when it is less than (1). Explanation: Maximum के पास increasing से decreasing transition होता है। परीक्षा में binomial coefficient peak को ratio से locate करें। / Near the maximum, the sequence transitions from increasing to decreasing. In exams locate the binomial coefficient peak by ratios.

Which concept should I revise for this Mathematics MCQ?

Near the maximum, the sequence transitions from increasing to decreasing. In exams locate the binomial coefficient peak by ratios.

What exam hint can help solve this Mathematics question?

Maximum के पास increasing से decreasing transition होता है। परीक्षा में binomial coefficient peak को ratio से locate करें।