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Class 9 Mathematics - Sequences and Progressions - Sum of first n natural numbers Medium Quiz

Mathematics Sequences and Progressions Sum of first n natural numbers Medium Class 9 Level 43

Level 43 • 11/50 questions • 35 seconds per question.

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This level needs 39 more active questions. Admin panel me same class, subject, difficulty aur level_no 43 par question add karein.
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Question 1/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(4,9,16,25,36,\ldots\) का अगला पद क्या है?

What is the next term of \(4,9,16,25,36,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (49)

Explanation

Simple Explanation

यह \(2^2,3^2,4^2,5^2,6^2\) का क्रम है। अगला पद \(7^2=49\) होगा। / This is the sequence \(2^2,3^2,4^2,5^2,6^2\). The next term will be \(7^2=49\).

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Question 2/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(1,8,27,64,125,\ldots\) में (7)वाँ पद क्या होगा?

What will be the (7)th term in \(1,8,27,64,125,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (343)

Explanation

Simple Explanation

यह घन संख्याओं का क्रम है। (7)वाँ पद \(7^3=343\) होगा। / This is a sequence of cube numbers. The (7)th term will be \(7^3=343\).

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Question 3/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(5,6,11,17,28,\ldots\) का अगला पद क्या है?

What is the next term of \(5,6,11,17,28,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (45)

Explanation

Simple Explanation

हर पद पिछले दो पदों का योग है। (17+28=45) अगला पद है। / Each term is the sum of the previous two terms. (17+28=45) is the next term.

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Question 4/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि किसी क्रम के पहले चार पद (5,12,19,26) हैं, तो \(a_n\) का सरल नियम क्या हो सकता है?

If the first four terms of a sequence are (5,12,19,26), what can be a simple rule for \(a_n\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=7n-2\)

Explanation

Simple Explanation

पहला पद (5) और अंतर (7) है। \(a_n=7n-2\) से वही क्रम मिलता है। / The first term is (5) and the difference is (7). \(a_n=7n-2\) gives the same sequence.

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Question 5/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

नियम \(a_n=6n+1\) से बनने वाले पहले चार पद कौन से हैं?

What are the first four terms formed by \(a_n=6n+1\)?

Explanation opens after your attempt
Correct Answer

B. (7,13,19,25)

Explanation

Simple Explanation

(n=1,2,3,4) रखने पर (7,13,19,25) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें। / Putting (n=1,2,3,4) gives (7,13,19,25). Start with (n=1) for the first four terms.

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Question 6/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

कौन सा क्रम \(a_n=4^n-2\) से बने पहले तीन पद दिखाता है?

Which sequence shows the first three terms of \(a_n=4^n-2\)?

Explanation opens after your attempt
Correct Answer

A. (2,14,62)

Explanation

Simple Explanation

\(4^1-2=2\), \(4^2-2=14\), \(4^3-2=62\)। घात निकालकर (2) घटाएँ। / \(4^1-2=2\), \(4^2-2=14\), and \(4^3-2=62\). Evaluate the power and subtract (2).

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Question 7/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(5,12,19,\ldots\) के पहले (6) पदों का योग क्या है?

What is the sum of the first (6) terms of \(5,12,19,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (135)

Explanation

Simple Explanation

पहले (6) पद (5,12,19,26,33,40) हैं। इनका योग (135) है। / The first (6) terms are (5,12,19,26,33,40). Their sum is (135).

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Question 8/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(72,65,58,\ldots\) के पहले (5) पदों का योग क्या है?

What is the sum of the first (5) terms of \(72,65,58,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (290)

Explanation

Simple Explanation

पहले (5) पद (72,65,58,51,44) हैं। इनका योग (290) है। / The first (5) terms are (72,65,58,51,44). Their sum is (290).

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Question 9/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(7,12,17,22,\ldots\) में \(a_6+a_7\) का मान क्या है?

What is the value of \(a_6+a_7\) in \(7,12,17,22,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (59)

Explanation

Simple Explanation

\(a_6=32\) और \(a_7=37\) है। इसलिए \(a_6+a_7=69\), अतः विकल्पों की जाँच दोबारा करनी चाहिए। / \(a_6=32\) and \(a_7=37\). Therefore \(a_6+a_7=69\), so the options should be checked again.

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Question 10/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(9,15,21,27,\ldots\) में पहले कितने पदों का योग (105) है?

How many first terms of \(9,15,21,27,\ldots\) have sum (105)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

पहले (5) पद (9,15,21,27,33) हैं। उनका योग (105) है। / The first (5) terms are (9,15,21,27,33). Their sum is (105).

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Question 11/11 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_1=6\), \(a_2=11\) और हर अगला पद पिछले दो पदों का योग है, तो \(a_5\) क्या होगा?

If \(a_1=6\), \(a_2=11\), and each next term is the sum of the previous two terms, what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

A. (45)

Explanation

Simple Explanation

क्रम (6,11,17,28,45) बनेगा। इसलिए \(a_5=45\) है। / The sequence becomes (6,11,17,28,45). Therefore \(a_5=45\).

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