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Mathematics Explicit or general rule MCQ Questions for Class 9

Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.

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Explicit or general rule Practice Questions

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Question 1/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

अनुक्रम \(3,6,9,12,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(3,6,9,12,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_n=3n\)

Step 1

Concept

Each term is a multiple of (3), so \(a_n=3n\). In exams, match the first few terms with (n).

Step 2

Why this answer is correct

The correct answer is C. \(a_n=3n\). Each term is a multiple of (3), so \(a_n=3n\). In exams, match the first few terms with (n).

Step 3

Exam Tip

हर पद (3) का गुणज है, इसलिए \(a_n=3n\) है। परीक्षा में पहले कुछ पदों को (n) से मिलाकर देखें।

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Question 2/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

अनुक्रम \(5,10,15,20,\ldots\) के लिए सही स्पष्ट नियम कौन-सा है?

Which explicit rule is correct for the sequence \(5,10,15,20,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=5n\)

Step 1

Concept

This is the sequence of multiples of (5). In exams, quickly check \(a_n=dn\) for multiple-based sequences.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=5n\). This is the sequence of multiples of (5). In exams, quickly check \(a_n=dn\) for multiple-based sequences.

Step 3

Exam Tip

यह (5) के पहाड़े का अनुक्रम है। परीक्षा में गुणज वाले अनुक्रमों में \(a_n=dn\) तुरंत जाँचें।

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Question 3/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

अनुक्रम \(2,4,6,8,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(2,4,6,8,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=2n\)

Step 1

Concept

This is the sequence of even numbers, so \(a_n=2n\). In exams, remember (2n) for even numbers.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=2n\). This is the sequence of even numbers, so \(a_n=2n\). In exams, remember (2n) for even numbers.

Step 3

Exam Tip

यह सम संख्याओं का अनुक्रम है, इसलिए \(a_n=2n\) है। परीक्षा में सम संख्याओं के लिए (2n) याद रखें।

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Question 4/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

अनुक्रम \(1,3,5,7,\ldots\) का स्पष्ट नियम कौन-सा है?

Which explicit rule represents the sequence \(1,3,5,7,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_n=2n-1\)

Step 1

Concept

This is the sequence of odd numbers, so \(a_n=2n-1\). In exams, check the rule by putting (n=1).

Step 2

Why this answer is correct

The correct answer is C. \(a_n=2n-1\). This is the sequence of odd numbers, so \(a_n=2n-1\). In exams, check the rule by putting (n=1).

Step 3

Exam Tip

यह विषम संख्याओं का अनुक्रम है, इसलिए \(a_n=2n-1\) है। परीक्षा में पहले पद के लिए (n=1) रखकर नियम जाँचें।

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Question 5/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

यदि \(a_n=n^2\) है, तो अनुक्रम के पहले तीन पद क्या होंगे?

If \(a_n=n^2\), what are the first three terms of the sequence?

Explanation opens after your attempt
Correct Answer

B. (1,4,9)

Step 1

Concept

Putting (n=1,2,3) gives (1,4,9). In exams, use small values of (n) for first terms.

Step 2

Why this answer is correct

The correct answer is B. (1,4,9). Putting (n=1,2,3) gives (1,4,9). In exams, use small values of (n) for first terms.

Step 3

Exam Tip

(n=1,2,3) रखने पर (1,4,9) मिलते हैं। परीक्षा में पहले पदों के लिए (n) के छोटे मान रखें।

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Question 6/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

अनुक्रम \(4,7,10,13,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(4,7,10,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=3n+1\)

Step 1

Concept

The first term is (4) and the difference is (3), so \(a_n=3n+1\). In exams, use (a_n=a+(n-1)d).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=3n+1\). The first term is (4) and the difference is (3), so \(a_n=3n+1\). In exams, use (a_n=a+(n-1)d).

Step 3

Exam Tip

पहला पद (4) और अंतर (3) है, इसलिए \(a_n=3n+1\) है। परीक्षा में (a_n=a+(n-1)d) का प्रयोग करें।

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Question 7/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

यदि \(a_n=4n-2\) है, तो \(a_6\) का मान क्या होगा?

If \(a_n=4n-2\), what is the value of \(a_6\)?

Explanation opens after your attempt
Correct Answer

B. (22)

Step 1

Concept

\(a_6=4\times6-2=22\). In exams, multiply first and subtract afterward.

Step 2

Why this answer is correct

The correct answer is B. (22). \(a_6=4\times6-2=22\). In exams, multiply first and subtract afterward.

Step 3

Exam Tip

\(a_6=4\times6-2=22\) है। परीक्षा में गुणा पहले और घटाव बाद में करें।

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Question 8/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

अनुक्रम \(10,20,30,40,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(10,20,30,40,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_n=10n\)

Step 1

Concept

Each term is a multiple of (10), so \(a_n=10n\). In exams, write the rule by observing the common difference of multiples.

Step 2

Why this answer is correct

The correct answer is C. \(a_n=10n\). Each term is a multiple of (10), so \(a_n=10n\). In exams, write the rule by observing the common difference of multiples.

Step 3

Exam Tip

हर पद (10) का गुणज है, इसलिए \(a_n=10n\) है। परीक्षा में गुणजों का अंतर देखकर नियम लिखें।

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Question 9/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

यदि \(a_n=7n\) है, तो \(a_4\) का मान क्या होगा?

If \(a_n=7n\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

D. (28)

Step 1

Concept

\(a_4=7\times4=28\). In exams, replace (n) with the term number.

Step 2

Why this answer is correct

The correct answer is D. (28). \(a_4=7\times4=28\). In exams, replace (n) with the term number.

Step 3

Exam Tip

\(a_4=7\times4=28\) है। परीक्षा में (n) की जगह पद संख्या रखें।

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Question 10/600 Easy Mathematics Sequences and Progressions Explicit or general rule Class 9 Level 50

अनुक्रम \(6,11,16,21,\ldots\) के लिए सही सामान्य पद कौन-सा है?

Which general term is correct for the sequence \(6,11,16,21,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=5n+1\)

Step 1

Concept

The first term is (6) and the difference is (5), so \(a_n=5n+1\). In exams, check the formula on the first two terms.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=5n+1\). The first term is (6) and the difference is (5), so \(a_n=5n+1\). In exams, check the formula on the first two terms.

Step 3

Exam Tip

पहला पद (6) और अंतर (5) है, इसलिए \(a_n=5n+1\) है। परीक्षा में सूत्र को पहले दो पदों पर जाँचें।

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