Class 9 Mathematics - Sequences and Progressions - Arithmetic Progression Medium Quiz

Mathematics Sequences and Progressions Arithmetic Progression Medium Class 9 Level 41

Level 41 • 8/50 questions • 35 seconds per question.

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Question 1/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(3,7,11,15,\ldots\) का (10)वाँ पद क्या होगा?

What will be the (10)th term of the sequence \(3,7,11,15,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (39)

Step 1

Concept

Here the first term is (3) and the common difference is (4). The (10)th term is \(3+9\times4=39\).

Step 2

Why this answer is correct

The correct answer is C. (39). Here the first term is (3) and the common difference is (4). The (10)th term is \(3+9\times4=39\).

Step 3

Exam Tip

यहाँ पहला पद (3) और समान अंतर (4) है। (10)वाँ पद \(3+9\times4=39\) है।

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Question 2/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(5,9,13,\Box,21\) में खाली स्थान का मान क्या है?

What is the missing value in \(5,9,13,\Box,21\)?

Explanation opens after your attempt
Correct Answer

C. (17)

Step 1

Concept

Each term increases by (4). Since (13+4=17), the missing value is (17).

Step 2

Why this answer is correct

The correct answer is C. (17). Each term increases by (4). Since (13+4=17), the missing value is (17).

Step 3

Exam Tip

हर बार (4) जोड़ा जा रहा है। (13+4=17), इसलिए खाली स्थान (17) है।

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Question 3/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(9,14,19,24,\ldots\) में (49) कौन सा पद होगा?

In \(9,14,19,24,\ldots\), which term will (49) be?

Explanation opens after your attempt
Correct Answer

B. (9)वाँ(9)th

Step 1

Concept

The first term is (9) and the difference is (5). From (9+(n-1)5=49), (n=9).

Step 2

Why this answer is correct

The correct answer is B. (9)वाँ / (9)th. The first term is (9) and the difference is (5). From (9+(n-1)5=49), (n=9).

Step 3

Exam Tip

पहला पद (9) और अंतर (5) है। (9+(n-1)5=49) से (n=9) मिलता है।

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Question 4/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(2,5,8,11,\ldots\) और \(1,4,7,10,\ldots\) के (6)ठे पदों का अंतर क्या है?

What is the difference between the (6)th terms of \(2,5,8,11,\ldots\) and \(1,4,7,10,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

The (6)th term of the first sequence is (17) and that of the second is (16). Their difference is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). The (6)th term of the first sequence is (17) and that of the second is (16). Their difference is (1).

Step 3

Exam Tip

पहले क्रम का (6)ठा पद (17) और दूसरे का (16) है। उनका अंतर (1) है।

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Question 5/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(3,8,13,\ldots\) के पहले (5) पदों का योग क्या है?

What is the sum of the first (5) terms of \(3,8,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (65)

Step 1

Concept

The first (5) terms are (3,8,13,18,23). Their sum is (65).

Step 2

Why this answer is correct

The correct answer is C. (65). The first (5) terms are (3,8,13,18,23). Their sum is (65).

Step 3

Exam Tip

पहले (5) पद (3,8,13,18,23) हैं। इनका योग (65) है।

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Question 6/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

कौन सा क्रम समान अंतर वाला नहीं है?

Which sequence does not have a common difference?

Explanation opens after your attempt
Correct Answer

C. (4,9,16,25)

Step 1

Concept

The differences in (4,9,16,25) are (5,7,9), which are not equal. Subtract consecutive terms to check common difference.

Step 2

Why this answer is correct

The correct answer is C. (4,9,16,25). The differences in (4,9,16,25) are (5,7,9), which are not equal. Subtract consecutive terms to check common difference.

Step 3

Exam Tip

(4,9,16,25) के अंतर (5,7,9) हैं, जो समान नहीं हैं। समान अंतर जाँचने के लिए लगातार पद घटाएँ।

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Question 7/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(5,8,11,14,\ldots\) में \(a_6+a_7\) का मान क्या है?

What is the value of \(a_6+a_7\) in \(5,8,11,14,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (47)

Step 1

Concept

\(a_6=20\) and \(a_7=23\). Therefore \(a_6+a_7=43\), so option (A) is correct.

Step 2

Why this answer is correct

The correct answer is C. (47). \(a_6=20\) and \(a_7=23\). Therefore \(a_6+a_7=43\), so option (A) is correct.

Step 3

Exam Tip

\(a_6=20\) और \(a_7=23\) हैं। इसलिए \(a_6+a_7=43\), अतः विकल्प (A) सही है।

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Question 8/8 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 41

क्रम \(4,9,14,\ldots\) में कौन सा पद (34) से ठीक पहले आता है?

In \(4,9,14,\ldots\), which term comes just before (34)?

Explanation opens after your attempt
Correct Answer

C. (29)

Step 1

Concept

The sequence is (4,9,14,19,24,29,34). The term just before (34) is (29).

Step 2

Why this answer is correct

The correct answer is C. (29). The sequence is (4,9,14,19,24,29,34). The term just before (34) is (29).

Step 3

Exam Tip

क्रम (4,9,14,19,24,29,34) है। (34) से ठीक पहले (29) आता है।

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