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

Mathematics Sequences and Progressions Arithmetic Progression Medium Class 9 Level 42

Level 42 • 7/50 questions • 35 seconds per question.

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Question 1/7 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(4,10,16,22,\ldots\) का (9)वाँ पद क्या होगा?

What will be the (9)th term of \(4,10,16,22,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (52)

Step 1

Concept

The first term is (4) and the common difference is (6). The (9)th term is \(4+8\times6=52\).

Step 2

Why this answer is correct

The correct answer is C. (52). The first term is (4) and the common difference is (6). The (9)th term is \(4+8\times6=52\).

Step 3

Exam Tip

पहला पद (4) और समान अंतर (6) है। (9)वाँ पद \(4+8\times6=52\) है।

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Question 2/7 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(6,13,20,\Box,34\) में खाली स्थान का मान क्या है?

What is the missing value in \(6,13,20,\Box,34\)?

Explanation opens after your attempt
Correct Answer

C. (27)

Step 1

Concept

Each term increases by (7). (20+7=27) is the missing value.

Step 2

Why this answer is correct

The correct answer is C. (27). Each term increases by (7). (20+7=27) is the missing value.

Step 3

Exam Tip

हर बार (7) जोड़ा जा रहा है। (20+7=27) खाली स्थान है।

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Question 3/7 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(8,15,22,29,\ldots\) में (57) कौन सा पद होगा?

In \(8,15,22,29,\ldots\), which term will (57) be?

Explanation opens after your attempt
Correct Answer

B. (8)वाँ(8)th

Step 1

Concept

The first term is (8) and the difference is (7). From (8+(n-1)7=57), (n=8).

Step 2

Why this answer is correct

The correct answer is B. (8)वाँ / (8)th. The first term is (8) and the difference is (7). From (8+(n-1)7=57), (n=8).

Step 3

Exam Tip

पहला पद (8) और अंतर (7) है। (8+(n-1)7=57) से (n=8) मिलता है।

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Question 4/7 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(4,8,12,16,\ldots\) और \(7,11,15,19,\ldots\) के (7)वें पदों का अंतर क्या है?

What is the difference between the (7)th terms of \(4,8,12,16,\ldots\) and \(7,11,15,19,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

Both sequences have common difference (4), so the term difference always remains (3). The (7)th terms also differ by (3).

Step 2

Why this answer is correct

The correct answer is B. (3). Both sequences have common difference (4), so the term difference always remains (3). The (7)th terms also differ by (3).

Step 3

Exam Tip

दोनों क्रमों का समान अंतर (4) है, इसलिए पदों का अंतर हमेशा (3) रहेगा। (7)वें पदों में भी यही अंतर है।

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Question 5/7 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(4,9,14,\ldots\) के पहले (6) पदों का योग क्या है?

What is the sum of the first (6) terms of \(4,9,14,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (90)

Step 1

Concept

The first (6) terms are (4,9,14,19,24,29). Their sum is (99), so no listed option is correct.

Step 2

Why this answer is correct

The correct answer is C. (90). The first (6) terms are (4,9,14,19,24,29). Their sum is (99), so no listed option is correct.

Step 3

Exam Tip

पहले (6) पद (4,9,14,19,24,29) हैं। इनका योग (99) नहीं, (99) है इसलिए विकल्पों में सही मान नहीं है।

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Question 6/7 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(6,10,14,18,\ldots\) में \(a_5+a_6\) का मान क्या है?

What is the value of \(a_5+a_6\) in \(6,10,14,18,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (46)

Step 1

Concept

\(a_5=22\) and \(a_6=26\). Therefore \(a_5+a_6=48\), so option (D) is correct.

Step 2

Why this answer is correct

The correct answer is C. (46). \(a_5=22\) and \(a_6=26\). Therefore \(a_5+a_6=48\), so option (D) is correct.

Step 3

Exam Tip

\(a_5=22\) और \(a_6=26\) है। इसलिए \(a_5+a_6=48\), अतः विकल्प (D) सही है।

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Question 7/7 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 42

क्रम \(6,13,20,\ldots\) में कौन सा पद (41) से ठीक पहले आता है?

In \(6,13,20,\ldots\), which term comes just before (41)?

Explanation opens after your attempt
Correct Answer

C. (34)

Step 1

Concept

The sequence is (6,13,20,27,34,41). The term just before (41) is (34).

Step 2

Why this answer is correct

The correct answer is C. (34). The sequence is (6,13,20,27,34,41). The term just before (41) is (34).

Step 3

Exam Tip

क्रम (6,13,20,27,34,41) है। (41) से ठीक पहले (34) आता है।

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