Class 9 Mathematics - Sequences and Progressions - Geometric Progression Hard Quiz

Mathematics Sequences and Progressions Geometric Progression Hard Class 9 Level 42

Level 42 • 4/50 questions • 30 seconds per question.

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This level needs 46 more active questions. Admin panel me same class, subject, difficulty aur level_no 42 par question add karein.
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Question 1/4 Hard Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(4,12,36,108,\ldots\) का (7)वाँ पद क्या है?

What is the (7)th term of \(4,12,36,108,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (2916)

Step 1

Concept

Each term is (3) times the previous term. In (4,12,36,108,324,972,2916), the (7)th term is (2916).

Step 2

Why this answer is correct

The correct answer is C. (2916). Each term is (3) times the previous term. In (4,12,36,108,324,972,2916), the (7)th term is (2916).

Step 3

Exam Tip

हर पद पिछले पद का (3) गुना है। (4,12,36,108,324,972,2916) में (7)वाँ पद (2916) है।

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Question 2/4 Hard Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(5,20,80,320,\ldots\) में (1280) कौन सा पद है?

In \(5,20,80,320,\ldots\), which term is (1280)?

Explanation opens after your attempt
Correct Answer

B. (5)वाँ(5)th

Step 1

Concept

The sequence is (5,20,80,320,1280). So (1280) is the (5)th term.

Step 2

Why this answer is correct

The correct answer is B. (5)वाँ / (5)th. The sequence is (5,20,80,320,1280). So (1280) is the (5)th term.

Step 3

Exam Tip

क्रम (5,20,80,320,1280) है। इसलिए (1280) (5)वाँ पद है।

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Question 3/4 Hard Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(6,30,150,\ldots\) और \(8,40,200,\ldots\) के (3)रे पदों का अनुपात क्या है?

What is the ratio of the (3)rd terms of \(6,30,150,\ldots\) and \(8,40,200,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (3:4)

Step 1

Concept

The third terms are (150) and (200). Their ratio is (150:200=3:4).

Step 2

Why this answer is correct

The correct answer is A. (3:4). The third terms are (150) and (200). Their ratio is (150:200=3:4).

Step 3

Exam Tip

तीसरे पद (150) और (200) हैं। उनका अनुपात (150:200=3:4) है।

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Question 4/4 Hard Mathematics Sequences and Progressions Sequences Class 9 Level 42

यदि क्रम \(6,24,96,384,\ldots\) में \(a_n=1536\) है, तो (n) क्या है?

If \(a_n=1536\) in the sequence \(6,24,96,384,\ldots\), what is (n)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

The sequence is (6,24,96,384,1536). (1536) is the fifth term, so (n=5).

Step 2

Why this answer is correct

The correct answer is B. (5). The sequence is (6,24,96,384,1536). (1536) is the fifth term, so (n=5).

Step 3

Exam Tip

क्रम (6,24,96,384,1536) है। (1536) पाँचवाँ पद है, इसलिए (n=5)।

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