अनुक्रम \(1,3,6,10,15,\ldots\) में कौन सा पद (45) है?

In the sequence \(1,3,6,10,15,\ldots\), which term is (45)?

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Correct Answer

B. (9)वाँ(9)th

Step 1

Concept

This is a triangular sequence with (T_n=\frac{n(n+1)}{2}). Since \(\frac{9\times10}{2}=45\), it is the (9)th term.

Step 2

Why this answer is correct

The correct answer is B. (9)वाँ / (9)th. This is a triangular sequence with (T_n=\frac{n(n+1)}{2}). Since \(\frac{9\times10}{2}=45\), it is the (9)th term.

Step 3

Exam Tip

यह त्रिभुजीय अनुक्रम है और (T_n=\frac{n(n+1)}{2}) होता है। \(\frac{9\times10}{2}=45\) इसलिए यह (9)वाँ पद है।

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Mathematics Answer, Explanation and Revision Hints

अनुक्रम \(1,3,6,10,15,\ldots\) में कौन सा पद (45) है? / In the sequence \(1,3,6,10,15,\ldots\), which term is (45)?

Correct Answer: B. (9)वाँ / (9)th. Explanation: यह त्रिभुजीय अनुक्रम है और (T_n=\frac{n(n+1)}{2}) होता है। \(\frac{9\times10}{2}=45\) इसलिए यह (9)वाँ पद है। / This is a triangular sequence with (T_n=\frac{n(n+1)}{2}). Since \(\frac{9\times10}{2}=45\), it is the (9)th term.

Which concept should I revise for this Mathematics MCQ?

This is a triangular sequence with (T_n=\frac{n(n+1)}{2}). Since \(\frac{9\times10}{2}=45\), it is the (9)th term.

What exam hint can help solve this Mathematics question?

यह त्रिभुजीय अनुक्रम है और (T_n=\frac{n(n+1)}{2}) होता है। \(\frac{9\times10}{2}=45\) इसलिए यह (9)वाँ पद है।